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Finding the Fourth Proportional to 34,291.52, 47,311.80 and 22,350.50

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Solution

The fourth proportional to 34,291.52, 47,311.80 and 22,350.50 is: 30,836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,291.52 : 47,311.80 = 22,350.50 : x
  2. Step 2: Convert to fraction form
    34,291.52/47,311.80 = 22,350.50/x
  3. Step 3: Cross multiply
    34,291.52x = 47,311.80 × 22,350.50
  4. Step 4: Simplify right side
    34,291.52x = 1,057,442,385.90
  5. Step 5: Solve for x
    x = 1,057,442,385.90/34,291.52
  6. Step 6: Final answer
    x = 30,836.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.