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Finding the Fourth Proportional to 31,098.72, 42,858.72 and 22,146.96

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Solution

The fourth proportional to 31,098.72, 42,858.72 and 22,146.96 is: 30,521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,098.72 : 42,858.72 = 22,146.96 : x
  2. Step 2: Convert to fraction form
    31,098.72/42,858.72 = 22,146.96/x
  3. Step 3: Cross multiply
    31,098.72x = 42,858.72 × 22,146.96
  4. Step 4: Simplify right side
    31,098.72x = 949,190,357.49
  5. Step 5: Solve for x
    x = 949,190,357.49/31,098.72
  6. Step 6: Final answer
    x = 30,521.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.