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Finding the Fourth Proportional to 32,436.14, 48,624.93 and 11,654.78

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Solution

The fourth proportional to 32,436.14, 48,624.93 and 11,654.78 is: 17,471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,436.14 : 48,624.93 = 11,654.78 : x
  2. Step 2: Convert to fraction form
    32,436.14/48,624.93 = 11,654.78/x
  3. Step 3: Cross multiply
    32,436.14x = 48,624.93 × 11,654.78
  4. Step 4: Simplify right side
    32,436.14x = 566,712,861.67
  5. Step 5: Solve for x
    x = 566,712,861.67/32,436.14
  6. Step 6: Final answer
    x = 17,471.65

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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.