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Finding the Fourth Proportional to 67,831.64, 101,751.94 and 23,462.68

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Solution

The fourth proportional to 67,831.64, 101,751.94 and 23,462.68 is: 35,195.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,831.64 : 101,751.94 = 23,462.68 : x
  2. Step 2: Convert to fraction form
    67,831.64/101,751.94 = 23,462.68/x
  3. Step 3: Cross multiply
    67,831.64x = 101,751.94 × 23,462.68
  4. Step 4: Simplify right side
    67,831.64x = 2,387,373,207.60
  5. Step 5: Solve for x
    x = 2,387,373,207.60/67,831.64
  6. Step 6: Final answer
    x = 35,195.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.