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Finding the Fourth Proportional to 31,635.47, 43,657.02 and 17,488.32

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Solution

The fourth proportional to 31,635.47, 43,657.02 and 17,488.32 is: 24,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,635.47 : 43,657.02 = 17,488.32 : x
  2. Step 2: Convert to fraction form
    31,635.47/43,657.02 = 17,488.32/x
  3. Step 3: Cross multiply
    31,635.47x = 43,657.02 × 17,488.32
  4. Step 4: Simplify right side
    31,635.47x = 763,487,936.01
  5. Step 5: Solve for x
    x = 763,487,936.01/31,635.47
  6. Step 6: Final answer
    x = 24,133.92

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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.