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Finding the Fourth Proportional to 52,685.48, 78,972.78 and 36,041

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Solution

The fourth proportional to 52,685.48, 78,972.78 and 36,041 is: 54,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,685.48 : 78,972.78 = 36,041 : x
  2. Step 2: Convert to fraction form
    52,685.48/78,972.78 = 36,041/x
  3. Step 3: Cross multiply
    52,685.48x = 78,972.78 × 36,041
  4. Step 4: Simplify right side
    52,685.48x = 2,846,257,963.98
  5. Step 5: Solve for x
    x = 2,846,257,963.98/52,685.48
  6. Step 6: Final answer
    x = 54,023.57

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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.