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Finding the Fourth Proportional to 67,314.34, 100,980.24 and 22,929.22

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Solution

The fourth proportional to 67,314.34, 100,980.24 and 22,929.22 is: 34,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,314.34 : 100,980.24 = 22,929.22 : x
  2. Step 2: Convert to fraction form
    67,314.34/100,980.24 = 22,929.22/x
  3. Step 3: Cross multiply
    67,314.34x = 100,980.24 × 22,929.22
  4. Step 4: Simplify right side
    67,314.34x = 2,315,398,138.61
  5. Step 5: Solve for x
    x = 2,315,398,138.61/67,314.34
  6. Step 6: Final answer
    x = 34,396.80

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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.