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Finding the Fourth Proportional to 38,197.56, 52,713.19 and 21,202.89

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Solution

The fourth proportional to 38,197.56, 52,713.19 and 21,202.89 is: 29,260.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,197.56 : 52,713.19 = 21,202.89 : x
  2. Step 2: Convert to fraction form
    38,197.56/52,713.19 = 21,202.89/x
  3. Step 3: Cross multiply
    38,197.56x = 52,713.19 × 21,202.89
  4. Step 4: Simplify right side
    38,197.56x = 1,117,671,969.12
  5. Step 5: Solve for x
    x = 1,117,671,969.12/38,197.56
  6. Step 6: Final answer
    x = 29,260.30

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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.