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Finding the Fourth Proportional to 70,872.54, 106,306.15 and 17,564.69

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Solution

The fourth proportional to 70,872.54, 106,306.15 and 17,564.69 is: 26,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,872.54 : 106,306.15 = 17,564.69 : x
  2. Step 2: Convert to fraction form
    70,872.54/106,306.15 = 17,564.69/x
  3. Step 3: Cross multiply
    70,872.54x = 106,306.15 × 17,564.69
  4. Step 4: Simplify right side
    70,872.54x = 1,867,234,476.24
  5. Step 5: Solve for x
    x = 1,867,234,476.24/70,872.54
  6. Step 6: Final answer
    x = 26,346.38

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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.