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Finding the Fourth Proportional to 40,092.16, 55,327.04 and 22,428.16

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Solution

The fourth proportional to 40,092.16, 55,327.04 and 22,428.16 is: 30,950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,092.16 : 55,327.04 = 22,428.16 : x
  2. Step 2: Convert to fraction form
    40,092.16/55,327.04 = 22,428.16/x
  3. Step 3: Cross multiply
    40,092.16x = 55,327.04 × 22,428.16
  4. Step 4: Simplify right side
    40,092.16x = 1,240,883,705.45
  5. Step 5: Solve for x
    x = 1,240,883,705.45/40,092.16
  6. Step 6: Final answer
    x = 30,950.78

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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.