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Finding the Fourth Proportional to 31,151.40, 42,969.78 and 22,201.80

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Solution

The fourth proportional to 31,151.40, 42,969.78 and 22,201.80 is: 30,624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,151.40 : 42,969.78 = 22,201.80 : x
  2. Step 2: Convert to fraction form
    31,151.40/42,969.78 = 22,201.80/x
  3. Step 3: Cross multiply
    31,151.40x = 42,969.78 × 22,201.80
  4. Step 4: Simplify right side
    31,151.40x = 954,006,461.60
  5. Step 5: Solve for x
    x = 954,006,461.60/31,151.40
  6. Step 6: Final answer
    x = 30,624.83

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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.