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Finding the Fourth Proportional to 71,069.76, 106,488 and 24,297.12

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Solution

The fourth proportional to 71,069.76, 106,488 and 24,297.12 is: 36,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,069.76 : 106,488 = 24,297.12 : x
  2. Step 2: Convert to fraction form
    71,069.76/106,488 = 24,297.12/x
  3. Step 3: Cross multiply
    71,069.76x = 106,488 × 24,297.12
  4. Step 4: Simplify right side
    71,069.76x = 2,587,351,714.56
  5. Step 5: Solve for x
    x = 2,587,351,714.56/71,069.76
  6. Step 6: Final answer
    x = 36,405.80

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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.