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Finding the Fourth Proportional to 131,841, 197,761.05 and 32,001.12

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Solution

The fourth proportional to 131,841, 197,761.05 and 32,001.12 is: 48,001.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,841 : 197,761.05 = 32,001.12 : x
  2. Step 2: Convert to fraction form
    131,841/197,761.05 = 32,001.12/x
  3. Step 3: Cross multiply
    131,841x = 197,761.05 × 32,001.12
  4. Step 4: Simplify right side
    131,841x = 6,328,575,092.38
  5. Step 5: Solve for x
    x = 6,328,575,092.38/131,841
  6. Step 6: Final answer
    x = 48,001.57

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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.