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Finding the Fourth Proportional to 73,472.64, 110,407.68 and 38,438.16

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Solution

The fourth proportional to 73,472.64, 110,407.68 and 38,438.16 is: 57,761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,472.64 : 110,407.68 = 38,438.16 : x
  2. Step 2: Convert to fraction form
    73,472.64/110,407.68 = 38,438.16/x
  3. Step 3: Cross multiply
    73,472.64x = 110,407.68 × 38,438.16
  4. Step 4: Simplify right side
    73,472.64x = 4,243,868,069.07
  5. Step 5: Solve for x
    x = 4,243,868,069.07/73,472.64
  6. Step 6: Final answer
    x = 57,761.20

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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.