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Finding the Fourth Proportional to 83,150.40, 114,747.52 and 44,909.97

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Solution

The fourth proportional to 83,150.40, 114,747.52 and 44,909.97 is: 61,975.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,150.40 : 114,747.52 = 44,909.97 : x
  2. Step 2: Convert to fraction form
    83,150.40/114,747.52 = 44,909.97/x
  3. Step 3: Cross multiply
    83,150.40x = 114,747.52 × 44,909.97
  4. Step 4: Simplify right side
    83,150.40x = 5,153,307,680.77
  5. Step 5: Solve for x
    x = 5,153,307,680.77/83,150.40
  6. Step 6: Final answer
    x = 61,975.74

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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.