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Finding the Fourth Proportional to 65,934.20, 90,989.39 and 35,719.38

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Solution

The fourth proportional to 65,934.20, 90,989.39 and 35,719.38 is: 49,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,934.20 : 90,989.39 = 35,719.38 : x
  2. Step 2: Convert to fraction form
    65,934.20/90,989.39 = 35,719.38/x
  3. Step 3: Cross multiply
    65,934.20x = 90,989.39 × 35,719.38
  4. Step 4: Simplify right side
    65,934.20x = 3,250,084,686.68
  5. Step 5: Solve for x
    x = 3,250,084,686.68/65,934.20
  6. Step 6: Final answer
    x = 49,292.85

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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.