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Finding the Fourth Proportional to 42,468.72, 63,702.36 and 14,766

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Solution

The fourth proportional to 42,468.72, 63,702.36 and 14,766 is: 22,148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,468.72 : 63,702.36 = 14,766 : x
  2. Step 2: Convert to fraction form
    42,468.72/63,702.36 = 14,766/x
  3. Step 3: Cross multiply
    42,468.72x = 63,702.36 × 14,766
  4. Step 4: Simplify right side
    42,468.72x = 940,629,047.76
  5. Step 5: Solve for x
    x = 940,629,047.76/42,468.72
  6. Step 6: Final answer
    x = 22,148.75

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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.