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Finding the Fourth Proportional to 83,671.71, 125,193.87 and 49,813.89

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Solution

The fourth proportional to 83,671.71, 125,193.87 and 49,813.89 is: 74,534.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,671.71 : 125,193.87 = 49,813.89 : x
  2. Step 2: Convert to fraction form
    83,671.71/125,193.87 = 49,813.89/x
  3. Step 3: Cross multiply
    83,671.71x = 125,193.87 × 49,813.89
  4. Step 4: Simplify right side
    83,671.71x = 6,236,393,668.85
  5. Step 5: Solve for x
    x = 6,236,393,668.85/83,671.71
  6. Step 6: Final answer
    x = 74,534.08

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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.