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Finding the Fourth Proportional to 57,602.75, 86,336.24 and 25,975.78

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Solution

The fourth proportional to 57,602.75, 86,336.24 and 25,975.78 is: 38,933.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,602.75 : 86,336.24 = 25,975.78 : x
  2. Step 2: Convert to fraction form
    57,602.75/86,336.24 = 25,975.78/x
  3. Step 3: Cross multiply
    57,602.75x = 86,336.24 × 25,975.78
  4. Step 4: Simplify right side
    57,602.75x = 2,242,651,176.27
  5. Step 5: Solve for x
    x = 2,242,651,176.27/57,602.75
  6. Step 6: Final answer
    x = 38,933.06

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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.