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Finding the Fourth Proportional to 83,163.38, 114,765.26 and 45,437.90

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Solution

The fourth proportional to 83,163.38, 114,765.26 and 45,437.90 is: 62,704.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,163.38 : 114,765.26 = 45,437.90 : x
  2. Step 2: Convert to fraction form
    83,163.38/114,765.26 = 45,437.90/x
  3. Step 3: Cross multiply
    83,163.38x = 114,765.26 × 45,437.90
  4. Step 4: Simplify right side
    83,163.38x = 5,214,692,407.35
  5. Step 5: Solve for x
    x = 5,214,692,407.35/83,163.38
  6. Step 6: Final answer
    x = 62,704.19

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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.