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Finding the Fourth Proportional to 125,240.68, 187,858.59 and 31,744

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Solution

The fourth proportional to 125,240.68, 187,858.59 and 31,744 is: 47,615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,240.68 : 187,858.59 = 31,744 : x
  2. Step 2: Convert to fraction form
    125,240.68/187,858.59 = 31,744/x
  3. Step 3: Cross multiply
    125,240.68x = 187,858.59 × 31,744
  4. Step 4: Simplify right side
    125,240.68x = 5,963,383,080.96
  5. Step 5: Solve for x
    x = 5,963,383,080.96/125,240.68
  6. Step 6: Final answer
    x = 47,615.38

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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.