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Finding the Fourth Proportional to 52,184.70, 78,287.70 and 22,198.89

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Solution

The fourth proportional to 52,184.70, 78,287.70 and 22,198.89 is: 33,302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,184.70 : 78,287.70 = 22,198.89 : x
  2. Step 2: Convert to fraction form
    52,184.70/78,287.70 = 22,198.89/x
  3. Step 3: Cross multiply
    52,184.70x = 78,287.70 × 22,198.89
  4. Step 4: Simplify right side
    52,184.70x = 1,737,900,040.65
  5. Step 5: Solve for x
    x = 1,737,900,040.65/52,184.70
  6. Step 6: Final answer
    x = 33,302.87

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Why These Related Problems?

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