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Finding the Fourth Proportional to 83,634.36, 115,326.90 and 59,752.32

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Solution

The fourth proportional to 83,634.36, 115,326.90 and 59,752.32 is: 82,394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,634.36 : 115,326.90 = 59,752.32 : x
  2. Step 2: Convert to fraction form
    83,634.36/115,326.90 = 59,752.32/x
  3. Step 3: Cross multiply
    83,634.36x = 115,326.90 × 59,752.32
  4. Step 4: Simplify right side
    83,634.36x = 6,891,049,833.41
  5. Step 5: Solve for x
    x = 6,891,049,833.41/83,634.36
  6. Step 6: Final answer
    x = 82,394.96

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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.