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Finding the Fourth Proportional to 42,449.72, 63,673.86 and 14,747

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Solution

The fourth proportional to 42,449.72, 63,673.86 and 14,747 is: 22,120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,449.72 : 63,673.86 = 14,747 : x
  2. Step 2: Convert to fraction form
    42,449.72/63,673.86 = 14,747/x
  3. Step 3: Cross multiply
    42,449.72x = 63,673.86 × 14,747
  4. Step 4: Simplify right side
    42,449.72x = 938,998,413.42
  5. Step 5: Solve for x
    x = 938,998,413.42/42,449.72
  6. Step 6: Final answer
    x = 22,120.25

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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.