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Finding the Fourth Proportional to 83,865.38, 115,734.22 and 46,139.63

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Solution

The fourth proportional to 83,865.38, 115,734.22 and 46,139.63 is: 63,672.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,865.38 : 115,734.22 = 46,139.63 : x
  2. Step 2: Convert to fraction form
    83,865.38/115,734.22 = 46,139.63/x
  3. Step 3: Cross multiply
    83,865.38x = 115,734.22 × 46,139.63
  4. Step 4: Simplify right side
    83,865.38x = 5,339,933,395.12
  5. Step 5: Solve for x
    x = 5,339,933,395.12/83,865.38
  6. Step 6: Final answer
    x = 63,672.68

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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.