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Finding the Fourth Proportional to 72,953,972.20, 109,461,102.30 and 31,992,216.04

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Solution

The fourth proportional to 72,953,972.20, 109,461,102.30 and 31,992,216.04 is: 48,001,542.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,953,972.20 : 109,461,102.30 = 31,992,216.04 : x
  2. Step 2: Convert to fraction form
    72,953,972.20/109,461,102.30 = 31,992,216.04/x
  3. Step 3: Cross multiply
    72,953,972.20x = 109,461,102.30 × 31,992,216.04
  4. Step 4: Simplify right side
    72,953,972.20x = 3,501,903,232,758,140.50
  5. Step 5: Solve for x
    x = 3,501,903,232,758,140.50/72,953,972.20
  6. Step 6: Final answer
    x = 48,001,542.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.