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Finding the Fourth Proportional to 83,952.78, 125,959.14 and 39,585.84

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Solution

The fourth proportional to 83,952.78, 125,959.14 and 39,585.84 is: 59,392.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,952.78 : 125,959.14 = 39,585.84 : x
  2. Step 2: Convert to fraction form
    83,952.78/125,959.14 = 39,585.84/x
  3. Step 3: Cross multiply
    83,952.78x = 125,959.14 × 39,585.84
  4. Step 4: Simplify right side
    83,952.78x = 4,986,198,362.58
  5. Step 5: Solve for x
    x = 4,986,198,362.58/83,952.78
  6. Step 6: Final answer
    x = 59,392.89

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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.