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Finding the Fourth Proportional to 83,892.25, 115,745.24 and 47,587.71

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Solution

The fourth proportional to 83,892.25, 115,745.24 and 47,587.71 is: 65,656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,892.25 : 115,745.24 = 47,587.71 : x
  2. Step 2: Convert to fraction form
    83,892.25/115,745.24 = 47,587.71/x
  3. Step 3: Cross multiply
    83,892.25x = 115,745.24 × 47,587.71
  4. Step 4: Simplify right side
    83,892.25x = 5,508,050,677.06
  5. Step 5: Solve for x
    x = 5,508,050,677.06/83,892.25
  6. Step 6: Final answer
    x = 65,656.26

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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.