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Finding the Fourth Proportional to 52,038.28, 71,784.66 and 31,904.92

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Solution

The fourth proportional to 52,038.28, 71,784.66 and 31,904.92 is: 44,011.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,038.28 : 71,784.66 = 31,904.92 : x
  2. Step 2: Convert to fraction form
    52,038.28/71,784.66 = 31,904.92/x
  3. Step 3: Cross multiply
    52,038.28x = 71,784.66 × 31,904.92
  4. Step 4: Simplify right side
    52,038.28x = 2,290,283,834.53
  5. Step 5: Solve for x
    x = 2,290,283,834.53/52,038.28
  6. Step 6: Final answer
    x = 44,011.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.