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Finding the Fourth Proportional to 34,142.20, 51,213.30 and 22,332.40

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Solution

The fourth proportional to 34,142.20, 51,213.30 and 22,332.40 is: 33,498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,142.20 : 51,213.30 = 22,332.40 : x
  2. Step 2: Convert to fraction form
    34,142.20/51,213.30 = 22,332.40/x
  3. Step 3: Cross multiply
    34,142.20x = 51,213.30 × 22,332.40
  4. Step 4: Simplify right side
    34,142.20x = 1,143,715,900.92
  5. Step 5: Solve for x
    x = 1,143,715,900.92/34,142.20
  6. Step 6: Final answer
    x = 33,498.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.