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Finding the Fourth Proportional to 70,819.90, 106,234.65 and 24,076.30

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Solution

The fourth proportional to 70,819.90, 106,234.65 and 24,076.30 is: 36,116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,819.90 : 106,234.65 = 24,076.30 : x
  2. Step 2: Convert to fraction form
    70,819.90/106,234.65 = 24,076.30/x
  3. Step 3: Cross multiply
    70,819.90x = 106,234.65 × 24,076.30
  4. Step 4: Simplify right side
    70,819.90x = 2,557,737,303.80
  5. Step 5: Solve for x
    x = 2,557,737,303.80/70,819.90
  6. Step 6: Final answer
    x = 36,116.08

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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.