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Finding the Fourth Proportional to 55,471.92, 83,097.81 and 25,848.96

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Solution

The fourth proportional to 55,471.92, 83,097.81 and 25,848.96 is: 38,722.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,471.92 : 83,097.81 = 25,848.96 : x
  2. Step 2: Convert to fraction form
    55,471.92/83,097.81 = 25,848.96/x
  3. Step 3: Cross multiply
    55,471.92x = 83,097.81 × 25,848.96
  4. Step 4: Simplify right side
    55,471.92x = 2,147,991,966.78
  5. Step 5: Solve for x
    x = 2,147,991,966.78/55,471.92
  6. Step 6: Final answer
    x = 38,722.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.