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Finding the Fourth Proportional to 38,202.67, 52,718.85 and 21,205.92

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Solution

The fourth proportional to 38,202.67, 52,718.85 and 21,205.92 is: 29,263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,202.67 : 52,718.85 = 21,205.92 : x
  2. Step 2: Convert to fraction form
    38,202.67/52,718.85 = 21,205.92/x
  3. Step 3: Cross multiply
    38,202.67x = 52,718.85 × 21,205.92
  4. Step 4: Simplify right side
    38,202.67x = 1,117,951,715.59
  5. Step 5: Solve for x
    x = 1,117,951,715.59/38,202.67
  6. Step 6: Final answer
    x = 29,263.71

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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.