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Finding the Fourth Proportional to 31,410.68, 47,111.16 and 20,395.48

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Solution

The fourth proportional to 31,410.68, 47,111.16 and 20,395.48 is: 30,590.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,410.68 : 47,111.16 = 20,395.48 : x
  2. Step 2: Convert to fraction form
    31,410.68/47,111.16 = 20,395.48/x
  3. Step 3: Cross multiply
    31,410.68x = 47,111.16 × 20,395.48
  4. Step 4: Simplify right side
    31,410.68x = 960,854,721.56
  5. Step 5: Solve for x
    x = 960,854,721.56/31,410.68
  6. Step 6: Final answer
    x = 30,590.06

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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.