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Finding the Fourth Proportional to 125,201.44, 187,809 and 31,708

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Solution

The fourth proportional to 125,201.44, 187,809 and 31,708 is: 47,563.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,201.44 : 187,809 = 31,708 : x
  2. Step 2: Convert to fraction form
    125,201.44/187,809 = 31,708/x
  3. Step 3: Cross multiply
    125,201.44x = 187,809 × 31,708
  4. Step 4: Simplify right side
    125,201.44x = 5,955,047,772
  5. Step 5: Solve for x
    x = 5,955,047,772/125,201.44
  6. Step 6: Final answer
    x = 47,563.73

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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.