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Finding the Fourth Proportional to 32,488.74, 48,718.53 and 14,949

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Solution

The fourth proportional to 32,488.74, 48,718.53 and 14,949 is: 22,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,488.74 : 48,718.53 = 14,949 : x
  2. Step 2: Convert to fraction form
    32,488.74/48,718.53 = 14,949/x
  3. Step 3: Cross multiply
    32,488.74x = 48,718.53 × 14,949
  4. Step 4: Simplify right side
    32,488.74x = 728,293,304.97
  5. Step 5: Solve for x
    x = 728,293,304.97/32,488.74
  6. Step 6: Final answer
    x = 22,416.79

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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.