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Finding the Fourth Proportional to 71,168.80, 106,755.36 and 24,421

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Solution

The fourth proportional to 71,168.80, 106,755.36 and 24,421 is: 36,632.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,168.80 : 106,755.36 = 24,421 : x
  2. Step 2: Convert to fraction form
    71,168.80/106,755.36 = 24,421/x
  3. Step 3: Cross multiply
    71,168.80x = 106,755.36 × 24,421
  4. Step 4: Simplify right side
    71,168.80x = 2,607,072,646.56
  5. Step 5: Solve for x
    x = 2,607,072,646.56/71,168.80
  6. Step 6: Final answer
    x = 36,632.24

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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.