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Finding the Fourth Proportional to 83,839.31, 115,698.72 and 45,599.30

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Solution

The fourth proportional to 83,839.31, 115,698.72 and 45,599.30 is: 62,927.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,839.31 : 115,698.72 = 45,599.30 : x
  2. Step 2: Convert to fraction form
    83,839.31/115,698.72 = 45,599.30/x
  3. Step 3: Cross multiply
    83,839.31x = 115,698.72 × 45,599.30
  4. Step 4: Simplify right side
    83,839.31x = 5,275,780,064.40
  5. Step 5: Solve for x
    x = 5,275,780,064.40/83,839.31
  6. Step 6: Final answer
    x = 62,927.29

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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.