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Finding the Fourth Proportional to 31,462.98, 47,223.64 and 15,891.54

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Solution

The fourth proportional to 31,462.98, 47,223.64 and 15,891.54 is: 23,852.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,462.98 : 47,223.64 = 15,891.54 : x
  2. Step 2: Convert to fraction form
    31,462.98/47,223.64 = 15,891.54/x
  3. Step 3: Cross multiply
    31,462.98x = 47,223.64 × 15,891.54
  4. Step 4: Simplify right side
    31,462.98x = 750,456,364.01
  5. Step 5: Solve for x
    x = 750,456,364.01/31,462.98
  6. Step 6: Final answer
    x = 23,852.04

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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.