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Finding the Fourth Proportional to 83,709.06, 115,519.35 and 45,468.96

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Solution

The fourth proportional to 83,709.06, 115,519.35 and 45,468.96 is: 62,747.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,709.06 : 115,519.35 = 45,468.96 : x
  2. Step 2: Convert to fraction form
    83,709.06/115,519.35 = 45,468.96/x
  3. Step 3: Cross multiply
    83,709.06x = 115,519.35 × 45,468.96
  4. Step 4: Simplify right side
    83,709.06x = 5,252,544,704.38
  5. Step 5: Solve for x
    x = 5,252,544,704.38/83,709.06
  6. Step 6: Final answer
    x = 62,747.62

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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.