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Finding the Fourth Proportional to 31,086.49, 42,898.01 and 17,657.70

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Solution

The fourth proportional to 31,086.49, 42,898.01 and 17,657.70 is: 24,366.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,086.49 : 42,898.01 = 17,657.70 : x
  2. Step 2: Convert to fraction form
    31,086.49/42,898.01 = 17,657.70/x
  3. Step 3: Cross multiply
    31,086.49x = 42,898.01 × 17,657.70
  4. Step 4: Simplify right side
    31,086.49x = 757,480,102.89
  5. Step 5: Solve for x
    x = 757,480,102.89/31,086.49
  6. Step 6: Final answer
    x = 24,366.86

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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.