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Finding the Fourth Proportional to 83,854.08, 125,744.24 and 44,402

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Solution

The fourth proportional to 83,854.08, 125,744.24 and 44,402 is: 66,583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,854.08 : 125,744.24 = 44,402 : x
  2. Step 2: Convert to fraction form
    83,854.08/125,744.24 = 44,402/x
  3. Step 3: Cross multiply
    83,854.08x = 125,744.24 × 44,402
  4. Step 4: Simplify right side
    83,854.08x = 5,583,295,744.48
  5. Step 5: Solve for x
    x = 5,583,295,744.48/83,854.08
  6. Step 6: Final answer
    x = 66,583.47

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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.