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Finding the Fourth Proportional to 70,794, 106,207.43 and 24,046.92

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Solution

The fourth proportional to 70,794, 106,207.43 and 24,046.92 is: 36,075.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,794 : 106,207.43 = 24,046.92 : x
  2. Step 2: Convert to fraction form
    70,794/106,207.43 = 24,046.92/x
  3. Step 3: Cross multiply
    70,794x = 106,207.43 × 24,046.92
  4. Step 4: Simplify right side
    70,794x = 2,553,961,452.38
  5. Step 5: Solve for x
    x = 2,553,961,452.38/70,794
  6. Step 6: Final answer
    x = 36,075.96

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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.