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Finding the Fourth Proportional to 101,392.97, 152,105.85 and 31,255.88

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Solution

The fourth proportional to 101,392.97, 152,105.85 and 31,255.88 is: 46,888.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,392.97 : 152,105.85 = 31,255.88 : x
  2. Step 2: Convert to fraction form
    101,392.97/152,105.85 = 31,255.88/x
  3. Step 3: Cross multiply
    101,392.97x = 152,105.85 × 31,255.88
  4. Step 4: Simplify right side
    101,392.97x = 4,754,201,434.37
  5. Step 5: Solve for x
    x = 4,754,201,434.37/101,392.97
  6. Step 6: Final answer
    x = 46,888.87

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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.