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Finding the Fourth Proportional to 55,704.60, 83,609.10 and 29,428.20

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Solution

The fourth proportional to 55,704.60, 83,609.10 and 29,428.20 is: 44,169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,704.60 : 83,609.10 = 29,428.20 : x
  2. Step 2: Convert to fraction form
    55,704.60/83,609.10 = 29,428.20/x
  3. Step 3: Cross multiply
    55,704.60x = 83,609.10 × 29,428.20
  4. Step 4: Simplify right side
    55,704.60x = 2,460,465,316.62
  5. Step 5: Solve for x
    x = 2,460,465,316.62/55,704.60
  6. Step 6: Final answer
    x = 44,169.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.