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Finding the Fourth Proportional to 72,985.20, 109,477.80 and 41,881.20

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Solution

The fourth proportional to 72,985.20, 109,477.80 and 41,881.20 is: 62,821.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,985.20 : 109,477.80 = 41,881.20 : x
  2. Step 2: Convert to fraction form
    72,985.20/109,477.80 = 41,881.20/x
  3. Step 3: Cross multiply
    72,985.20x = 109,477.80 × 41,881.20
  4. Step 4: Simplify right side
    72,985.20x = 4,585,061,637.36
  5. Step 5: Solve for x
    x = 4,585,061,637.36/72,985.20
  6. Step 6: Final answer
    x = 62,821.80

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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.