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Finding the Fourth Proportional to 57,742.60, 86,613.90 and 38,043.40

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Solution

The fourth proportional to 57,742.60, 86,613.90 and 38,043.40 is: 57,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,742.60 : 86,613.90 = 38,043.40 : x
  2. Step 2: Convert to fraction form
    57,742.60/86,613.90 = 38,043.40/x
  3. Step 3: Cross multiply
    57,742.60x = 86,613.90 × 38,043.40
  4. Step 4: Simplify right side
    57,742.60x = 3,295,087,243.26
  5. Step 5: Solve for x
    x = 3,295,087,243.26/57,742.60
  6. Step 6: Final answer
    x = 57,065.10

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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.