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Finding the Fourth Proportional to 32,452.84, 48,684.84 and 10,265.86

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Solution

The fourth proportional to 32,452.84, 48,684.84 and 10,265.86 is: 15,400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,452.84 : 48,684.84 = 10,265.86 : x
  2. Step 2: Convert to fraction form
    32,452.84/48,684.84 = 10,265.86/x
  3. Step 3: Cross multiply
    32,452.84x = 48,684.84 × 10,265.86
  4. Step 4: Simplify right side
    32,452.84x = 499,791,751.56
  5. Step 5: Solve for x
    x = 499,791,751.56/32,452.84
  6. Step 6: Final answer
    x = 15,400.56

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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.