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Finding the Fourth Proportional to 51,105.28, 70,524.48 and 28,444

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Solution

The fourth proportional to 51,105.28, 70,524.48 and 28,444 is: 39,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,105.28 : 70,524.48 = 28,444 : x
  2. Step 2: Convert to fraction form
    51,105.28/70,524.48 = 28,444/x
  3. Step 3: Cross multiply
    51,105.28x = 70,524.48 × 28,444
  4. Step 4: Simplify right side
    51,105.28x = 2,005,998,309.12
  5. Step 5: Solve for x
    x = 2,005,998,309.12/51,105.28
  6. Step 6: Final answer
    x = 39,252.27

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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.