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Finding the Fourth Proportional to 83,893.01, 115,772.28 and 46,167.26

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Solution

The fourth proportional to 83,893.01, 115,772.28 and 46,167.26 is: 63,710.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,893.01 : 115,772.28 = 46,167.26 : x
  2. Step 2: Convert to fraction form
    83,893.01/115,772.28 = 46,167.26/x
  3. Step 3: Cross multiply
    83,893.01x = 115,772.28 × 46,167.26
  4. Step 4: Simplify right side
    83,893.01x = 5,344,888,372.69
  5. Step 5: Solve for x
    x = 5,344,888,372.69/83,893.01
  6. Step 6: Final answer
    x = 63,710.78

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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.