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Finding the Fourth Proportional to 82,100.64, 113,310.63 and 59,514.41

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Solution

The fourth proportional to 82,100.64, 113,310.63 and 59,514.41 is: 82,138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,100.64 : 113,310.63 = 59,514.41 : x
  2. Step 2: Convert to fraction form
    82,100.64/113,310.63 = 59,514.41/x
  3. Step 3: Cross multiply
    82,100.64x = 113,310.63 × 59,514.41
  4. Step 4: Simplify right side
    82,100.64x = 6,743,614,724.63
  5. Step 5: Solve for x
    x = 6,743,614,724.63/82,100.64
  6. Step 6: Final answer
    x = 82,138.39

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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.