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Finding the Fourth Proportional to 59,680.20, 82,352.22 and 34,525

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Solution

The fourth proportional to 59,680.20, 82,352.22 and 34,525 is: 47,640.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,680.20 : 82,352.22 = 34,525 : x
  2. Step 2: Convert to fraction form
    59,680.20/82,352.22 = 34,525/x
  3. Step 3: Cross multiply
    59,680.20x = 82,352.22 × 34,525
  4. Step 4: Simplify right side
    59,680.20x = 2,843,210,395.50
  5. Step 5: Solve for x
    x = 2,843,210,395.50/59,680.20
  6. Step 6: Final answer
    x = 47,640.77

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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.