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Finding the Fourth Proportional to 72,964.36, 109,440.70 and 32,450.42

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Solution

The fourth proportional to 72,964.36, 109,440.70 and 32,450.42 is: 48,673.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,964.36 : 109,440.70 = 32,450.42 : x
  2. Step 2: Convert to fraction form
    72,964.36/109,440.70 = 32,450.42/x
  3. Step 3: Cross multiply
    72,964.36x = 109,440.70 × 32,450.42
  4. Step 4: Simplify right side
    72,964.36x = 3,551,395,970.64
  5. Step 5: Solve for x
    x = 3,551,395,970.64/72,964.36
  6. Step 6: Final answer
    x = 48,673.02

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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.