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Finding the Fourth Proportional to 83,029.68, 114,579 and 45,304.56

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Solution

The fourth proportional to 83,029.68, 114,579 and 45,304.56 is: 62,519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,029.68 : 114,579 = 45,304.56 : x
  2. Step 2: Convert to fraction form
    83,029.68/114,579 = 45,304.56/x
  3. Step 3: Cross multiply
    83,029.68x = 114,579 × 45,304.56
  4. Step 4: Simplify right side
    83,029.68x = 5,190,951,180.24
  5. Step 5: Solve for x
    x = 5,190,951,180.24/83,029.68
  6. Step 6: Final answer
    x = 62,519.22

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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.