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Finding the Fourth Proportional to 121,832.68, 182,747.10 and 38,725.48

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Solution

The fourth proportional to 121,832.68, 182,747.10 and 38,725.48 is: 58,087.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,832.68 : 182,747.10 = 38,725.48 : x
  2. Step 2: Convert to fraction form
    121,832.68/182,747.10 = 38,725.48/x
  3. Step 3: Cross multiply
    121,832.68x = 182,747.10 × 38,725.48
  4. Step 4: Simplify right side
    121,832.68x = 7,076,969,166.11
  5. Step 5: Solve for x
    x = 7,076,969,166.11/121,832.68
  6. Step 6: Final answer
    x = 58,087.61

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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.