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Finding the Fourth Proportional to 72,428.38, 108,642.66 and 19,838.32

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Solution

The fourth proportional to 72,428.38, 108,642.66 and 19,838.32 is: 29,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,428.38 : 108,642.66 = 19,838.32 : x
  2. Step 2: Convert to fraction form
    72,428.38/108,642.66 = 19,838.32/x
  3. Step 3: Cross multiply
    72,428.38x = 108,642.66 × 19,838.32
  4. Step 4: Simplify right side
    72,428.38x = 2,155,287,854.73
  5. Step 5: Solve for x
    x = 2,155,287,854.73/72,428.38
  6. Step 6: Final answer
    x = 29,757.50

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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.