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Finding the Fourth Proportional to 83,838.38, 115,697.26 and 45,597.92

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Solution

The fourth proportional to 83,838.38, 115,697.26 and 45,597.92 is: 62,925.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,838.38 : 115,697.26 = 45,597.92 : x
  2. Step 2: Convert to fraction form
    83,838.38/115,697.26 = 45,597.92/x
  3. Step 3: Cross multiply
    83,838.38x = 115,697.26 × 45,597.92
  4. Step 4: Simplify right side
    83,838.38x = 5,275,554,535.01
  5. Step 5: Solve for x
    x = 5,275,554,535.01/83,838.38
  6. Step 6: Final answer
    x = 62,925.30

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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.