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Finding the Fourth Proportional to 31,115.71, 42,937.99 and 17,685.10

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Solution

The fourth proportional to 31,115.71, 42,937.99 and 17,685.10 is: 24,404.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,115.71 : 42,937.99 = 17,685.10 : x
  2. Step 2: Convert to fraction form
    31,115.71/42,937.99 = 17,685.10/x
  3. Step 3: Cross multiply
    31,115.71x = 42,937.99 × 17,685.10
  4. Step 4: Simplify right side
    31,115.71x = 759,362,495.39
  5. Step 5: Solve for x
    x = 759,362,495.39/31,115.71
  6. Step 6: Final answer
    x = 24,404.47

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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.