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Finding the Fourth Proportional to 57,876.30, 86,848.97 and 25,852.86

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Solution

The fourth proportional to 57,876.30, 86,848.97 and 25,852.86 is: 38,794.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,876.30 : 86,848.97 = 25,852.86 : x
  2. Step 2: Convert to fraction form
    57,876.30/86,848.97 = 25,852.86/x
  3. Step 3: Cross multiply
    57,876.30x = 86,848.97 × 25,852.86
  4. Step 4: Simplify right side
    57,876.30x = 2,245,294,133.29
  5. Step 5: Solve for x
    x = 2,245,294,133.29/57,876.30
  6. Step 6: Final answer
    x = 38,794.71

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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.