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Finding the Fourth Proportional to 31,115.84, 42,938.16 and 17,685.23

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Solution

The fourth proportional to 31,115.84, 42,938.16 and 17,685.23 is: 24,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,115.84 : 42,938.16 = 17,685.23 : x
  2. Step 2: Convert to fraction form
    31,115.84/42,938.16 = 17,685.23/x
  3. Step 3: Cross multiply
    31,115.84x = 42,938.16 × 17,685.23
  4. Step 4: Simplify right side
    31,115.84x = 759,371,020.69
  5. Step 5: Solve for x
    x = 759,371,020.69/31,115.84
  6. Step 6: Final answer
    x = 24,404.65

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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.