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Finding the Fourth Proportional to 82,500.60, 123,751.08 and 38,114.40

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Solution

The fourth proportional to 82,500.60, 123,751.08 and 38,114.40 is: 57,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,500.60 : 123,751.08 = 38,114.40 : x
  2. Step 2: Convert to fraction form
    82,500.60/123,751.08 = 38,114.40/x
  3. Step 3: Cross multiply
    82,500.60x = 123,751.08 × 38,114.40
  4. Step 4: Simplify right side
    82,500.60x = 4,716,698,163.55
  5. Step 5: Solve for x
    x = 4,716,698,163.55/82,500.60
  6. Step 6: Final answer
    x = 57,171.68

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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.