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Finding the Fourth Proportional to 32,454.88, 48,688.24 and 14,924.25

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Solution

The fourth proportional to 32,454.88, 48,688.24 and 14,924.25 is: 22,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,454.88 : 48,688.24 = 14,924.25 : x
  2. Step 2: Convert to fraction form
    32,454.88/48,688.24 = 14,924.25/x
  3. Step 3: Cross multiply
    32,454.88x = 48,688.24 × 14,924.25
  4. Step 4: Simplify right side
    32,454.88x = 726,635,456.49
  5. Step 5: Solve for x
    x = 726,635,456.49/32,454.88
  6. Step 6: Final answer
    x = 22,389.10

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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.