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Finding the Fourth Proportional to 31,475.48, 47,221.20 and 11,754.20

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Solution

The fourth proportional to 31,475.48, 47,221.20 and 11,754.20 is: 17,634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,475.48 : 47,221.20 = 11,754.20 : x
  2. Step 2: Convert to fraction form
    31,475.48/47,221.20 = 11,754.20/x
  3. Step 3: Cross multiply
    31,475.48x = 47,221.20 × 11,754.20
  4. Step 4: Simplify right side
    31,475.48x = 555,047,192.93
  5. Step 5: Solve for x
    x = 555,047,192.93/31,475.48
  6. Step 6: Final answer
    x = 17,634.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.