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Finding the Fourth Proportional to 83,908, 115,793.02 and 46,182.24

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Solution

The fourth proportional to 83,908, 115,793.02 and 46,182.24 is: 63,731.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,908 : 115,793.02 = 46,182.24 : x
  2. Step 2: Convert to fraction form
    83,908/115,793.02 = 46,182.24/x
  3. Step 3: Cross multiply
    83,908x = 115,793.02 × 46,182.24
  4. Step 4: Simplify right side
    83,908x = 5,347,581,039.96
  5. Step 5: Solve for x
    x = 5,347,581,039.96/83,908
  6. Step 6: Final answer
    x = 63,731.48

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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.