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Finding the Fourth Proportional to 33,136.32, 49,713.12 and 12,360

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Solution

The fourth proportional to 33,136.32, 49,713.12 and 12,360 is: 18,543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,136.32 : 49,713.12 = 12,360 : x
  2. Step 2: Convert to fraction form
    33,136.32/49,713.12 = 12,360/x
  3. Step 3: Cross multiply
    33,136.32x = 49,713.12 × 12,360
  4. Step 4: Simplify right side
    33,136.32x = 614,454,163.20
  5. Step 5: Solve for x
    x = 614,454,163.20/33,136.32
  6. Step 6: Final answer
    x = 18,543.22

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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.