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Finding the Fourth Proportional to 39,727.05, 54,823.12 and 21,822

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Solution

The fourth proportional to 39,727.05, 54,823.12 and 21,822 is: 30,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,727.05 : 54,823.12 = 21,822 : x
  2. Step 2: Convert to fraction form
    39,727.05/54,823.12 = 21,822/x
  3. Step 3: Cross multiply
    39,727.05x = 54,823.12 × 21,822
  4. Step 4: Simplify right side
    39,727.05x = 1,196,350,124.64
  5. Step 5: Solve for x
    x = 1,196,350,124.64/39,727.05
  6. Step 6: Final answer
    x = 30,114.25

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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.