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Finding the Fourth Proportional to 31,002, 42,783.20 and 16,854.88

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Solution

The fourth proportional to 31,002, 42,783.20 and 16,854.88 is: 23,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,002 : 42,783.20 = 16,854.88 : x
  2. Step 2: Convert to fraction form
    31,002/42,783.20 = 16,854.88/x
  3. Step 3: Cross multiply
    31,002x = 42,783.20 × 16,854.88
  4. Step 4: Simplify right side
    31,002x = 721,105,702.02
  5. Step 5: Solve for x
    x = 721,105,702.02/31,002
  6. Step 6: Final answer
    x = 23,259.97

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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.