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Finding the Fourth Proportional to 70,819.52, 106,243.20 and 23,432.72

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Solution

The fourth proportional to 70,819.52, 106,243.20 and 23,432.72 is: 35,153.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,819.52 : 106,243.20 = 23,432.72 : x
  2. Step 2: Convert to fraction form
    70,819.52/106,243.20 = 23,432.72/x
  3. Step 3: Cross multiply
    70,819.52x = 106,243.20 × 23,432.72
  4. Step 4: Simplify right side
    70,819.52x = 2,489,567,157.50
  5. Step 5: Solve for x
    x = 2,489,567,157.50/70,819.52
  6. Step 6: Final answer
    x = 35,153.69

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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.