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Finding the Fourth Proportional to 83,750.43, 115,585.57 and 47,951.94

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Solution

The fourth proportional to 83,750.43, 115,585.57 and 47,951.94 is: 66,179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,750.43 : 115,585.57 = 47,951.94 : x
  2. Step 2: Convert to fraction form
    83,750.43/115,585.57 = 47,951.94/x
  3. Step 3: Cross multiply
    83,750.43x = 115,585.57 × 47,951.94
  4. Step 4: Simplify right side
    83,750.43x = 5,542,552,317.51
  5. Step 5: Solve for x
    x = 5,542,552,317.51/83,750.43
  6. Step 6: Final answer
    x = 66,179.39

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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.