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Finding the Fourth Proportional to 101,334.56, 152,031.14 and 31,224.20

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Solution

The fourth proportional to 101,334.56, 152,031.14 and 31,224.20 is: 46,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,334.56 : 152,031.14 = 31,224.20 : x
  2. Step 2: Convert to fraction form
    101,334.56/152,031.14 = 31,224.20/x
  3. Step 3: Cross multiply
    101,334.56x = 152,031.14 × 31,224.20
  4. Step 4: Simplify right side
    101,334.56x = 4,747,050,721.59
  5. Step 5: Solve for x
    x = 4,747,050,721.59/101,334.56
  6. Step 6: Final answer
    x = 46,845.33

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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.