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Finding the Fourth Proportional to 57,468.96, 86,202.57 and 25,856.70

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Solution

The fourth proportional to 57,468.96, 86,202.57 and 25,856.70 is: 38,784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,468.96 : 86,202.57 = 25,856.70 : x
  2. Step 2: Convert to fraction form
    57,468.96/86,202.57 = 25,856.70/x
  3. Step 3: Cross multiply
    57,468.96x = 86,202.57 × 25,856.70
  4. Step 4: Simplify right side
    57,468.96x = 2,228,913,991.72
  5. Step 5: Solve for x
    x = 2,228,913,991.72/57,468.96
  6. Step 6: Final answer
    x = 38,784.66

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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.