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Finding the Fourth Proportional to 127,342.86, 191,014.05 and 33,848.61

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Solution

The fourth proportional to 127,342.86, 191,014.05 and 33,848.61 is: 50,772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,342.86 : 191,014.05 = 33,848.61 : x
  2. Step 2: Convert to fraction form
    127,342.86/191,014.05 = 33,848.61/x
  3. Step 3: Cross multiply
    127,342.86x = 191,014.05 × 33,848.61
  4. Step 4: Simplify right side
    127,342.86x = 6,465,560,082.97
  5. Step 5: Solve for x
    x = 6,465,560,082.97/127,342.86
  6. Step 6: Final answer
    x = 50,772.85

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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.