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Finding the Fourth Proportional to 65,906.45, 90,951.33 and 35,691.80

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Solution

The fourth proportional to 65,906.45, 90,951.33 and 35,691.80 is: 49,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,906.45 : 90,951.33 = 35,691.80 : x
  2. Step 2: Convert to fraction form
    65,906.45/90,951.33 = 35,691.80/x
  3. Step 3: Cross multiply
    65,906.45x = 90,951.33 × 35,691.80
  4. Step 4: Simplify right side
    65,906.45x = 3,246,216,225.34
  5. Step 5: Solve for x
    x = 3,246,216,225.34/65,906.45
  6. Step 6: Final answer
    x = 49,254.91

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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.