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Finding the Fourth Proportional to 53,494.19, 80,242.19 and 20,229.92

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Solution

The fourth proportional to 53,494.19, 80,242.19 and 20,229.92 is: 30,345.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,494.19 : 80,242.19 = 20,229.92 : x
  2. Step 2: Convert to fraction form
    53,494.19/80,242.19 = 20,229.92/x
  3. Step 3: Cross multiply
    53,494.19x = 80,242.19 × 20,229.92
  4. Step 4: Simplify right side
    53,494.19x = 1,623,293,072.53
  5. Step 5: Solve for x
    x = 1,623,293,072.53/53,494.19
  6. Step 6: Final answer
    x = 30,345.22

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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.