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Finding the Fourth Proportional to 101,671.22, 152,309.90 and 49,117.61

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Solution

The fourth proportional to 101,671.22, 152,309.90 and 49,117.61 is: 73,581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,671.22 : 152,309.90 = 49,117.61 : x
  2. Step 2: Convert to fraction form
    101,671.22/152,309.90 = 49,117.61/x
  3. Step 3: Cross multiply
    101,671.22x = 152,309.90 × 49,117.61
  4. Step 4: Simplify right side
    101,671.22x = 7,481,098,770.91
  5. Step 5: Solve for x
    x = 7,481,098,770.91/101,671.22
  6. Step 6: Final answer
    x = 73,581.28

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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.