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Finding the Fourth Proportional to 84,671.76, 127,016.86 and 37,266.48

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Solution

The fourth proportional to 84,671.76, 127,016.86 and 37,266.48 is: 55,903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,671.76 : 127,016.86 = 37,266.48 : x
  2. Step 2: Convert to fraction form
    84,671.76/127,016.86 = 37,266.48/x
  3. Step 3: Cross multiply
    84,671.76x = 127,016.86 × 37,266.48
  4. Step 4: Simplify right side
    84,671.76x = 4,733,471,249.56
  5. Step 5: Solve for x
    x = 4,733,471,249.56/84,671.76
  6. Step 6: Final answer
    x = 55,903.78

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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.