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Finding the Fourth Proportional to 38,738.54, 53,456.94 and 21,741.20

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Solution

The fourth proportional to 38,738.54, 53,456.94 and 21,741.20 is: 30,001.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,738.54 : 53,456.94 = 21,741.20 : x
  2. Step 2: Convert to fraction form
    38,738.54/53,456.94 = 21,741.20/x
  3. Step 3: Cross multiply
    38,738.54x = 53,456.94 × 21,741.20
  4. Step 4: Simplify right side
    38,738.54x = 1,162,218,023.93
  5. Step 5: Solve for x
    x = 1,162,218,023.93/38,738.54
  6. Step 6: Final answer
    x = 30,001.60

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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.