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Finding the Fourth Proportional to 83,668, 115,462.65 and 45,943.06

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Solution

The fourth proportional to 83,668, 115,462.65 and 45,943.06 is: 63,401.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,668 : 115,462.65 = 45,943.06 : x
  2. Step 2: Convert to fraction form
    83,668/115,462.65 = 45,943.06/x
  3. Step 3: Cross multiply
    83,668x = 115,462.65 × 45,943.06
  4. Step 4: Simplify right side
    83,668x = 5,304,707,456.71
  5. Step 5: Solve for x
    x = 5,304,707,456.71/83,668
  6. Step 6: Final answer
    x = 63,401.87

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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.