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Finding the Fourth Proportional to 41,580, 57,380.76 and 22,717.14

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Solution

The fourth proportional to 41,580, 57,380.76 and 22,717.14 is: 31,349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,580 : 57,380.76 = 22,717.14 : x
  2. Step 2: Convert to fraction form
    41,580/57,380.76 = 22,717.14/x
  3. Step 3: Cross multiply
    41,580x = 57,380.76 × 22,717.14
  4. Step 4: Simplify right side
    41,580x = 1,303,526,758.23
  5. Step 5: Solve for x
    x = 1,303,526,758.23/41,580
  6. Step 6: Final answer
    x = 31,349.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.