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Finding the Fourth Proportional to 83,219.83, 114,854.03 and 47,422.69

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Solution

The fourth proportional to 83,219.83, 114,854.03 and 47,422.69 is: 65,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,219.83 : 114,854.03 = 47,422.69 : x
  2. Step 2: Convert to fraction form
    83,219.83/114,854.03 = 47,422.69/x
  3. Step 3: Cross multiply
    83,219.83x = 114,854.03 × 47,422.69
  4. Step 4: Simplify right side
    83,219.83x = 5,446,687,059.94
  5. Step 5: Solve for x
    x = 5,446,687,059.94/83,219.83
  6. Step 6: Final answer
    x = 65,449.39

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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.