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Finding the Fourth Proportional to 38,604.32, 53,282.52 and 23,493.80

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Solution

The fourth proportional to 38,604.32, 53,282.52 and 23,493.80 is: 32,426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,604.32 : 53,282.52 = 23,493.80 : x
  2. Step 2: Convert to fraction form
    38,604.32/53,282.52 = 23,493.80/x
  3. Step 3: Cross multiply
    38,604.32x = 53,282.52 × 23,493.80
  4. Step 4: Simplify right side
    38,604.32x = 1,251,808,868.38
  5. Step 5: Solve for x
    x = 1,251,808,868.38/38,604.32
  6. Step 6: Final answer
    x = 32,426.65

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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.