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Finding the Fourth Proportional to 32,561.14, 48,549.12 and 29,780.88

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Solution

The fourth proportional to 32,561.14, 48,549.12 and 29,780.88 is: 44,403.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,561.14 : 48,549.12 = 29,780.88 : x
  2. Step 2: Convert to fraction form
    32,561.14/48,549.12 = 29,780.88/x
  3. Step 3: Cross multiply
    32,561.14x = 48,549.12 × 29,780.88
  4. Step 4: Simplify right side
    32,561.14x = 1,445,835,516.83
  5. Step 5: Solve for x
    x = 1,445,835,516.83/32,561.14
  6. Step 6: Final answer
    x = 44,403.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.