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Finding the Fourth Proportional to 32,400, 44,723.52 and 22,469.76

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Solution

The fourth proportional to 32,400, 44,723.52 and 22,469.76 is: 31,016.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,400 : 44,723.52 = 22,469.76 : x
  2. Step 2: Convert to fraction form
    32,400/44,723.52 = 22,469.76/x
  3. Step 3: Cross multiply
    32,400x = 44,723.52 × 22,469.76
  4. Step 4: Simplify right side
    32,400x = 1,004,926,760.76
  5. Step 5: Solve for x
    x = 1,004,926,760.76/32,400
  6. Step 6: Final answer
    x = 31,016.26

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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.