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Finding the Fourth Proportional to 32,078.14, 48,117.25 and 8,704.58

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Solution

The fourth proportional to 32,078.14, 48,117.25 and 8,704.58 is: 13,056.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078.14 : 48,117.25 = 8,704.58 : x
  2. Step 2: Convert to fraction form
    32,078.14/48,117.25 = 8,704.58/x
  3. Step 3: Cross multiply
    32,078.14x = 48,117.25 × 8,704.58
  4. Step 4: Simplify right side
    32,078.14x = 418,840,452.01
  5. Step 5: Solve for x
    x = 418,840,452.01/32,078.14
  6. Step 6: Final answer
    x = 13,056.88

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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.