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Finding the Fourth Proportional to 83,404.46, 115,098.39 and 45,164.46

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Solution

The fourth proportional to 83,404.46, 115,098.39 and 45,164.46 is: 62,327.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,404.46 : 115,098.39 = 45,164.46 : x
  2. Step 2: Convert to fraction form
    83,404.46/115,098.39 = 45,164.46/x
  3. Step 3: Cross multiply
    83,404.46x = 115,098.39 × 45,164.46
  4. Step 4: Simplify right side
    83,404.46x = 5,198,356,631.22
  5. Step 5: Solve for x
    x = 5,198,356,631.22/83,404.46
  6. Step 6: Final answer
    x = 62,327.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.