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Finding the Fourth Proportional to 50,480.88, 75,718.44 and 13,542

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Solution

The fourth proportional to 50,480.88, 75,718.44 and 13,542 is: 20,312.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,480.88 : 75,718.44 = 13,542 : x
  2. Step 2: Convert to fraction form
    50,480.88/75,718.44 = 13,542/x
  3. Step 3: Cross multiply
    50,480.88x = 75,718.44 × 13,542
  4. Step 4: Simplify right side
    50,480.88x = 1,025,379,114.48
  5. Step 5: Solve for x
    x = 1,025,379,114.48/50,480.88
  6. Step 6: Final answer
    x = 20,312.23

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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.