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Finding the Fourth Proportional to 38,204.16, 52,720.38 and 21,209.15

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Solution

The fourth proportional to 38,204.16, 52,720.38 and 21,209.15 is: 29,267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,204.16 : 52,720.38 = 21,209.15 : x
  2. Step 2: Convert to fraction form
    38,204.16/52,720.38 = 21,209.15/x
  3. Step 3: Cross multiply
    38,204.16x = 52,720.38 × 21,209.15
  4. Step 4: Simplify right side
    38,204.16x = 1,118,154,341.43
  5. Step 5: Solve for x
    x = 1,118,154,341.43/38,204.16
  6. Step 6: Final answer
    x = 29,267.87

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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.