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Finding the Fourth Proportional to 36,223.68, 54,329.68 and 9,922.28

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Solution

The fourth proportional to 36,223.68, 54,329.68 and 9,922.28 is: 14,881.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,223.68 : 54,329.68 = 9,922.28 : x
  2. Step 2: Convert to fraction form
    36,223.68/54,329.68 = 9,922.28/x
  3. Step 3: Cross multiply
    36,223.68x = 54,329.68 × 9,922.28
  4. Step 4: Simplify right side
    36,223.68x = 539,074,297.27
  5. Step 5: Solve for x
    x = 539,074,297.27/36,223.68
  6. Step 6: Final answer
    x = 14,881.82

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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.