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Finding the Fourth Proportional to 31,424.88, 47,145 and 10,648.56

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Solution

The fourth proportional to 31,424.88, 47,145 and 10,648.56 is: 15,975.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,424.88 : 47,145 = 10,648.56 : x
  2. Step 2: Convert to fraction form
    31,424.88/47,145 = 10,648.56/x
  3. Step 3: Cross multiply
    31,424.88x = 47,145 × 10,648.56
  4. Step 4: Simplify right side
    31,424.88x = 502,026,361.20
  5. Step 5: Solve for x
    x = 502,026,361.20/31,424.88
  6. Step 6: Final answer
    x = 15,975.44

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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.