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Finding the Fourth Proportional to 82,919.80, 114,432.38 and 47,115.87

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Solution

The fourth proportional to 82,919.80, 114,432.38 and 47,115.87 is: 65,021.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,919.80 : 114,432.38 = 47,115.87 : x
  2. Step 2: Convert to fraction form
    82,919.80/114,432.38 = 47,115.87/x
  3. Step 3: Cross multiply
    82,919.80x = 114,432.38 × 47,115.87
  4. Step 4: Simplify right side
    82,919.80x = 5,391,581,139.87
  5. Step 5: Solve for x
    x = 5,391,581,139.87/82,919.80
  6. Step 6: Final answer
    x = 65,021.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.