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Finding the Fourth Proportional to 31,007.28, 42,801.18 and 18,432

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Solution

The fourth proportional to 31,007.28, 42,801.18 and 18,432 is: 25,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,007.28 : 42,801.18 = 18,432 : x
  2. Step 2: Convert to fraction form
    31,007.28/42,801.18 = 18,432/x
  3. Step 3: Cross multiply
    31,007.28x = 42,801.18 × 18,432
  4. Step 4: Simplify right side
    31,007.28x = 788,911,349.76
  5. Step 5: Solve for x
    x = 788,911,349.76/31,007.28
  6. Step 6: Final answer
    x = 25,442.78

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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.