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Finding the Fourth Proportional to 59,770.84, 82,459.04 and 35,567

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Solution

The fourth proportional to 59,770.84, 82,459.04 and 35,567 is: 49,067.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,770.84 : 82,459.04 = 35,567 : x
  2. Step 2: Convert to fraction form
    59,770.84/82,459.04 = 35,567/x
  3. Step 3: Cross multiply
    59,770.84x = 82,459.04 × 35,567
  4. Step 4: Simplify right side
    59,770.84x = 2,932,820,675.68
  5. Step 5: Solve for x
    x = 2,932,820,675.68/59,770.84
  6. Step 6: Final answer
    x = 49,067.75

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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.