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Finding the Fourth Proportional to 83,909.52, 115,795.17 and 46,183.50

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Solution

The fourth proportional to 83,909.52, 115,795.17 and 46,183.50 is: 63,733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,909.52 : 115,795.17 = 46,183.50 : x
  2. Step 2: Convert to fraction form
    83,909.52/115,795.17 = 46,183.50/x
  3. Step 3: Cross multiply
    83,909.52x = 115,795.17 × 46,183.50
  4. Step 4: Simplify right side
    83,909.52x = 5,347,826,233.70
  5. Step 5: Solve for x
    x = 5,347,826,233.70/83,909.52
  6. Step 6: Final answer
    x = 63,733.25

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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.