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Finding the Fourth Proportional to 38,195.96, 52,713.60 and 21,201.80

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Solution

The fourth proportional to 38,195.96, 52,713.60 and 21,201.80 is: 29,260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,195.96 : 52,713.60 = 21,201.80 : x
  2. Step 2: Convert to fraction form
    38,195.96/52,713.60 = 21,201.80/x
  3. Step 3: Cross multiply
    38,195.96x = 52,713.60 × 21,201.80
  4. Step 4: Simplify right side
    38,195.96x = 1,117,623,204.48
  5. Step 5: Solve for x
    x = 1,117,623,204.48/38,195.96
  6. Step 6: Final answer
    x = 29,260.25

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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.