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Finding the Fourth Proportional to 83,222.86, 114,839.30 and 47,410.74

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Solution

The fourth proportional to 83,222.86, 114,839.30 and 47,410.74 is: 65,422.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,222.86 : 114,839.30 = 47,410.74 : x
  2. Step 2: Convert to fraction form
    83,222.86/114,839.30 = 47,410.74/x
  3. Step 3: Cross multiply
    83,222.86x = 114,839.30 × 47,410.74
  4. Step 4: Simplify right side
    83,222.86x = 5,444,615,382.83
  5. Step 5: Solve for x
    x = 5,444,615,382.83/83,222.86
  6. Step 6: Final answer
    x = 65,422.11

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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.