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Finding the Fourth Proportional to 38,200.41, 52,715.21 and 21,205.40

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Solution

The fourth proportional to 38,200.41, 52,715.21 and 21,205.40 is: 29,262.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.41 : 52,715.21 = 21,205.40 : x
  2. Step 2: Convert to fraction form
    38,200.41/52,715.21 = 21,205.40/x
  3. Step 3: Cross multiply
    38,200.41x = 52,715.21 × 21,205.40
  4. Step 4: Simplify right side
    38,200.41x = 1,117,846,744.53
  5. Step 5: Solve for x
    x = 1,117,846,744.53/38,200.41
  6. Step 6: Final answer
    x = 29,262.69

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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.