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Finding the Fourth Proportional to 60,086.57, 82,831.05 and 47,298.78

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Solution

The fourth proportional to 60,086.57, 82,831.05 and 47,298.78 is: 65,202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,086.57 : 82,831.05 = 47,298.78 : x
  2. Step 2: Convert to fraction form
    60,086.57/82,831.05 = 47,298.78/x
  3. Step 3: Cross multiply
    60,086.57x = 82,831.05 × 47,298.78
  4. Step 4: Simplify right side
    60,086.57x = 3,917,807,611.12
  5. Step 5: Solve for x
    x = 3,917,807,611.12/60,086.57
  6. Step 6: Final answer
    x = 65,202.72

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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.