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Finding the Fourth Proportional to 31,084.56, 42,897.51 and 16,938.27

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Solution

The fourth proportional to 31,084.56, 42,897.51 and 16,938.27 is: 23,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,084.56 : 42,897.51 = 16,938.27 : x
  2. Step 2: Convert to fraction form
    31,084.56/42,897.51 = 16,938.27/x
  3. Step 3: Cross multiply
    31,084.56x = 42,897.51 × 16,938.27
  4. Step 4: Simplify right side
    31,084.56x = 726,609,606.71
  5. Step 5: Solve for x
    x = 726,609,606.71/31,084.56
  6. Step 6: Final answer
    x = 23,375.26

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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.