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Finding the Fourth Proportional to 36,151.20, 54,228.48 and 12,780

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Solution

The fourth proportional to 36,151.20, 54,228.48 and 12,780 is: 19,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,151.20 : 54,228.48 = 12,780 : x
  2. Step 2: Convert to fraction form
    36,151.20/54,228.48 = 12,780/x
  3. Step 3: Cross multiply
    36,151.20x = 54,228.48 × 12,780
  4. Step 4: Simplify right side
    36,151.20x = 693,039,974.40
  5. Step 5: Solve for x
    x = 693,039,974.40/36,151.20
  6. Step 6: Final answer
    x = 19,170.59

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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.