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Finding the Fourth Proportional to 83,660.96, 115,451.30 and 45,419.66

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Solution

The fourth proportional to 83,660.96, 115,451.30 and 45,419.66 is: 62,678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,660.96 : 115,451.30 = 45,419.66 : x
  2. Step 2: Convert to fraction form
    83,660.96/115,451.30 = 45,419.66/x
  3. Step 3: Cross multiply
    83,660.96x = 115,451.30 × 45,419.66
  4. Step 4: Simplify right side
    83,660.96x = 5,243,758,722.78
  5. Step 5: Solve for x
    x = 5,243,758,722.78/83,660.96
  6. Step 6: Final answer
    x = 62,678.68

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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.