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Finding the Fourth Proportional to 125,077.68, 187,617.69 and 31,583.34

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Solution

The fourth proportional to 125,077.68, 187,617.69 and 31,583.34 is: 47,375.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,077.68 : 187,617.69 = 31,583.34 : x
  2. Step 2: Convert to fraction form
    125,077.68/187,617.69 = 31,583.34/x
  3. Step 3: Cross multiply
    125,077.68x = 187,617.69 × 31,583.34
  4. Step 4: Simplify right side
    125,077.68x = 5,925,593,293.28
  5. Step 5: Solve for x
    x = 5,925,593,293.28/125,077.68
  6. Step 6: Final answer
    x = 47,375.31

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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.