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Finding the Fourth Proportional to 52,470.43, 78,728.88 and 27,504.54

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Solution

The fourth proportional to 52,470.43, 78,728.88 and 27,504.54 is: 41,268.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,470.43 : 78,728.88 = 27,504.54 : x
  2. Step 2: Convert to fraction form
    52,470.43/78,728.88 = 27,504.54/x
  3. Step 3: Cross multiply
    52,470.43x = 78,728.88 × 27,504.54
  4. Step 4: Simplify right side
    52,470.43x = 2,165,401,732.26
  5. Step 5: Solve for x
    x = 2,165,401,732.26/52,470.43
  6. Step 6: Final answer
    x = 41,268.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.