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Finding the Fourth Proportional to 31,442, 47,142.60 and 16,657.88

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Solution

The fourth proportional to 31,442, 47,142.60 and 16,657.88 is: 24,976.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,442 : 47,142.60 = 16,657.88 : x
  2. Step 2: Convert to fraction form
    31,442/47,142.60 = 16,657.88/x
  3. Step 3: Cross multiply
    31,442x = 47,142.60 × 16,657.88
  4. Step 4: Simplify right side
    31,442x = 785,295,773.69
  5. Step 5: Solve for x
    x = 785,295,773.69/31,442
  6. Step 6: Final answer
    x = 24,976.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.