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Finding the Fourth Proportional to 34,801.14, 52,201.71 and 8,505.57

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Solution

The fourth proportional to 34,801.14, 52,201.71 and 8,505.57 is: 12,758.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,801.14 : 52,201.71 = 8,505.57 : x
  2. Step 2: Convert to fraction form
    34,801.14/52,201.71 = 8,505.57/x
  3. Step 3: Cross multiply
    34,801.14x = 52,201.71 × 8,505.57
  4. Step 4: Simplify right side
    34,801.14x = 444,005,298.52
  5. Step 5: Solve for x
    x = 444,005,298.52/34,801.14
  6. Step 6: Final answer
    x = 12,758.36

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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.