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Finding the Fourth Proportional to 38,548.92, 53,206.41 and 25,096.77

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Solution

The fourth proportional to 38,548.92, 53,206.41 and 25,096.77 is: 34,639.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,548.92 : 53,206.41 = 25,096.77 : x
  2. Step 2: Convert to fraction form
    38,548.92/53,206.41 = 25,096.77/x
  3. Step 3: Cross multiply
    38,548.92x = 53,206.41 × 25,096.77
  4. Step 4: Simplify right side
    38,548.92x = 1,335,309,034.30
  5. Step 5: Solve for x
    x = 1,335,309,034.30/38,548.92
  6. Step 6: Final answer
    x = 34,639.34

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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.