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Finding the Fourth Proportional to 83,838.20, 115,695 and 45,598.48

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Solution

The fourth proportional to 83,838.20, 115,695 and 45,598.48 is: 62,924.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,838.20 : 115,695 = 45,598.48 : x
  2. Step 2: Convert to fraction form
    83,838.20/115,695 = 45,598.48/x
  3. Step 3: Cross multiply
    83,838.20x = 115,695 × 45,598.48
  4. Step 4: Simplify right side
    83,838.20x = 5,275,516,143.60
  5. Step 5: Solve for x
    x = 5,275,516,143.60/83,838.20
  6. Step 6: Final answer
    x = 62,924.97

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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.