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Finding the Fourth Proportional to 83,397.93, 115,086.92 and 47,587.29

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Solution

The fourth proportional to 83,397.93, 115,086.92 and 47,587.29 is: 65,669.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,397.93 : 115,086.92 = 47,587.29 : x
  2. Step 2: Convert to fraction form
    83,397.93/115,086.92 = 47,587.29/x
  3. Step 3: Cross multiply
    83,397.93x = 115,086.92 × 47,587.29
  4. Step 4: Simplify right side
    83,397.93x = 5,476,674,399.31
  5. Step 5: Solve for x
    x = 5,476,674,399.31/83,397.93
  6. Step 6: Final answer
    x = 65,669.19

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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.