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Finding the Fourth Proportional to 38,200.68, 52,717.13 and 21,205.16

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Solution

The fourth proportional to 38,200.68, 52,717.13 and 21,205.16 is: 29,263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.68 : 52,717.13 = 21,205.16 : x
  2. Step 2: Convert to fraction form
    38,200.68/52,717.13 = 21,205.16/x
  3. Step 3: Cross multiply
    38,200.68x = 52,717.13 × 21,205.16
  4. Step 4: Simplify right side
    38,200.68x = 1,117,874,806.78
  5. Step 5: Solve for x
    x = 1,117,874,806.78/38,200.68
  6. Step 6: Final answer
    x = 29,263.22

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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.