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Finding the Fourth Proportional to 38,565.68, 57,850.52 and 10,865.84

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Solution

The fourth proportional to 38,565.68, 57,850.52 and 10,865.84 is: 16,299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,565.68 : 57,850.52 = 10,865.84 : x
  2. Step 2: Convert to fraction form
    38,565.68/57,850.52 = 10,865.84/x
  3. Step 3: Cross multiply
    38,565.68x = 57,850.52 × 10,865.84
  4. Step 4: Simplify right side
    38,565.68x = 628,594,494.24
  5. Step 5: Solve for x
    x = 628,594,494.24/38,565.68
  6. Step 6: Final answer
    x = 16,299.32

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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.