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Finding the Fourth Proportional to 32,624.76, 48,937.14 and 9,248.16

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Solution

The fourth proportional to 32,624.76, 48,937.14 and 9,248.16 is: 13,872.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,624.76 : 48,937.14 = 9,248.16 : x
  2. Step 2: Convert to fraction form
    32,624.76/48,937.14 = 9,248.16/x
  3. Step 3: Cross multiply
    32,624.76x = 48,937.14 × 9,248.16
  4. Step 4: Simplify right side
    32,624.76x = 452,578,500.66
  5. Step 5: Solve for x
    x = 452,578,500.66/32,624.76
  6. Step 6: Final answer
    x = 13,872.24

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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.