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Finding the Fourth Proportional to 34,801.24, 52,201.86 and 10,177.24

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Solution

The fourth proportional to 34,801.24, 52,201.86 and 10,177.24 is: 15,265.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,801.24 : 52,201.86 = 10,177.24 : x
  2. Step 2: Convert to fraction form
    34,801.24/52,201.86 = 10,177.24/x
  3. Step 3: Cross multiply
    34,801.24x = 52,201.86 × 10,177.24
  4. Step 4: Simplify right side
    34,801.24x = 531,270,857.67
  5. Step 5: Solve for x
    x = 531,270,857.67/34,801.24
  6. Step 6: Final answer
    x = 15,265.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.