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Finding the Fourth Proportional to 57,713.78, 86,702.03 and 41,752.54

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Solution

The fourth proportional to 57,713.78, 86,702.03 and 41,752.54 is: 62,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,713.78 : 86,702.03 = 41,752.54 : x
  2. Step 2: Convert to fraction form
    57,713.78/86,702.03 = 41,752.54/x
  3. Step 3: Cross multiply
    57,713.78x = 86,702.03 × 41,752.54
  4. Step 4: Simplify right side
    57,713.78x = 3,620,030,031.84
  5. Step 5: Solve for x
    x = 3,620,030,031.84/57,713.78
  6. Step 6: Final answer
    x = 62,723.84

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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.