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Finding the Fourth Proportional to 32,091.48, 48,149.55 and 13,366.53

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Solution

The fourth proportional to 32,091.48, 48,149.55 and 13,366.53 is: 20,054.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,091.48 : 48,149.55 = 13,366.53 : x
  2. Step 2: Convert to fraction form
    32,091.48/48,149.55 = 13,366.53/x
  3. Step 3: Cross multiply
    32,091.48x = 48,149.55 × 13,366.53
  4. Step 4: Simplify right side
    32,091.48x = 643,592,404.56
  5. Step 5: Solve for x
    x = 643,592,404.56/32,091.48
  6. Step 6: Final answer
    x = 20,054.93

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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.