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Finding the Fourth Proportional to 59,976, 82,774.17 and 34,825.50

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Solution

The fourth proportional to 59,976, 82,774.17 and 34,825.50 is: 48,063.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,976 : 82,774.17 = 34,825.50 : x
  2. Step 2: Convert to fraction form
    59,976/82,774.17 = 34,825.50/x
  3. Step 3: Cross multiply
    59,976x = 82,774.17 × 34,825.50
  4. Step 4: Simplify right side
    59,976x = 2,882,651,857.34
  5. Step 5: Solve for x
    x = 2,882,651,857.34/59,976
  6. Step 6: Final answer
    x = 48,063.42

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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.