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Finding the Fourth Proportional to 31,517.40, 43,502.94 and 22,088.28

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Solution

The fourth proportional to 31,517.40, 43,502.94 and 22,088.28 is: 30,488.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,517.40 : 43,502.94 = 22,088.28 : x
  2. Step 2: Convert to fraction form
    31,517.40/43,502.94 = 22,088.28/x
  3. Step 3: Cross multiply
    31,517.40x = 43,502.94 × 22,088.28
  4. Step 4: Simplify right side
    31,517.40x = 960,905,119.54
  5. Step 5: Solve for x
    x = 960,905,119.54/31,517.40
  6. Step 6: Final answer
    x = 30,488.08

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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.