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Finding the Fourth Proportional to 39,204, 54,101.52 and 22,440.24

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Solution

The fourth proportional to 39,204, 54,101.52 and 22,440.24 is: 30,967.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,204 : 54,101.52 = 22,440.24 : x
  2. Step 2: Convert to fraction form
    39,204/54,101.52 = 22,440.24/x
  3. Step 3: Cross multiply
    39,204x = 54,101.52 × 22,440.24
  4. Step 4: Simplify right side
    39,204x = 1,214,051,093.16
  5. Step 5: Solve for x
    x = 1,214,051,093.16/39,204
  6. Step 6: Final answer
    x = 30,967.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.