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Finding the Fourth Proportional to 31,116.47, 42,939.02 and 17,685.86

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Solution

The fourth proportional to 31,116.47, 42,939.02 and 17,685.86 is: 24,405.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,116.47 : 42,939.02 = 17,685.86 : x
  2. Step 2: Convert to fraction form
    31,116.47/42,939.02 = 17,685.86/x
  3. Step 3: Cross multiply
    31,116.47x = 42,939.02 × 17,685.86
  4. Step 4: Simplify right side
    31,116.47x = 759,413,193.13
  5. Step 5: Solve for x
    x = 759,413,193.13/31,116.47
  6. Step 6: Final answer
    x = 24,405.51

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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.