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Finding the Fourth Proportional to 31,775.50, 47,694.24 and 15,146.98

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Solution

The fourth proportional to 31,775.50, 47,694.24 and 15,146.98 is: 22,735.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,775.50 : 47,694.24 = 15,146.98 : x
  2. Step 2: Convert to fraction form
    31,775.50/47,694.24 = 15,146.98/x
  3. Step 3: Cross multiply
    31,775.50x = 47,694.24 × 15,146.98
  4. Step 4: Simplify right side
    31,775.50x = 722,423,699.40
  5. Step 5: Solve for x
    x = 722,423,699.40/31,775.50
  6. Step 6: Final answer
    x = 22,735.24

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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.