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Finding the Fourth Proportional to 36,853.50, 55,288.89 and 12,229.50

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Solution

The fourth proportional to 36,853.50, 55,288.89 and 12,229.50 is: 18,347.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,853.50 : 55,288.89 = 12,229.50 : x
  2. Step 2: Convert to fraction form
    36,853.50/55,288.89 = 12,229.50/x
  3. Step 3: Cross multiply
    36,853.50x = 55,288.89 × 12,229.50
  4. Step 4: Simplify right side
    36,853.50x = 676,155,480.26
  5. Step 5: Solve for x
    x = 676,155,480.26/36,853.50
  6. Step 6: Final answer
    x = 18,347.12

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1.5x scale

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.