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Finding the Fourth Proportional to 83,862, 115,729.56 and 46,135.44

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Solution

The fourth proportional to 83,862, 115,729.56 and 46,135.44 is: 63,666.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,862 : 115,729.56 = 46,135.44 : x
  2. Step 2: Convert to fraction form
    83,862/115,729.56 = 46,135.44/x
  3. Step 3: Cross multiply
    83,862x = 115,729.56 × 46,135.44
  4. Step 4: Simplify right side
    83,862x = 5,339,234,171.61
  5. Step 5: Solve for x
    x = 5,339,234,171.61/83,862
  6. Step 6: Final answer
    x = 63,666.91

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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.