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Finding the Fourth Proportional to 83,874.54, 115,750.05 and 48,071.46

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Solution

The fourth proportional to 83,874.54, 115,750.05 and 48,071.46 is: 66,340.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,874.54 : 115,750.05 = 48,071.46 : x
  2. Step 2: Convert to fraction form
    83,874.54/115,750.05 = 48,071.46/x
  3. Step 3: Cross multiply
    83,874.54x = 115,750.05 × 48,071.46
  4. Step 4: Simplify right side
    83,874.54x = 5,564,273,501.27
  5. Step 5: Solve for x
    x = 5,564,273,501.27/83,874.54
  6. Step 6: Final answer
    x = 66,340.44

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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.