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Finding the Fourth Proportional to 59,584.12, 82,217.82 and 35,705.32

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Solution

The fourth proportional to 59,584.12, 82,217.82 and 35,705.32 is: 49,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,584.12 : 82,217.82 = 35,705.32 : x
  2. Step 2: Convert to fraction form
    59,584.12/82,217.82 = 35,705.32/x
  3. Step 3: Cross multiply
    59,584.12x = 82,217.82 × 35,705.32
  4. Step 4: Simplify right side
    59,584.12x = 2,935,613,572.80
  5. Step 5: Solve for x
    x = 2,935,613,572.80/59,584.12
  6. Step 6: Final answer
    x = 49,268.39

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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.