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Finding the Fourth Proportional to 42,448.72, 63,672.36 and 14,746

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Solution

The fourth proportional to 42,448.72, 63,672.36 and 14,746 is: 22,118.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,448.72 : 63,672.36 = 14,746 : x
  2. Step 2: Convert to fraction form
    42,448.72/63,672.36 = 14,746/x
  3. Step 3: Cross multiply
    42,448.72x = 63,672.36 × 14,746
  4. Step 4: Simplify right side
    42,448.72x = 938,912,620.56
  5. Step 5: Solve for x
    x = 938,912,620.56/42,448.72
  6. Step 6: Final answer
    x = 22,118.75

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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.