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Finding the Fourth Proportional to 32,758.57, 49,137.84 and 8,134.57

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Solution

The fourth proportional to 32,758.57, 49,137.84 and 8,134.57 is: 12,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,758.57 : 49,137.84 = 8,134.57 : x
  2. Step 2: Convert to fraction form
    32,758.57/49,137.84 = 8,134.57/x
  3. Step 3: Cross multiply
    32,758.57x = 49,137.84 × 8,134.57
  4. Step 4: Simplify right side
    32,758.57x = 399,715,199.13
  5. Step 5: Solve for x
    x = 399,715,199.13/32,758.57
  6. Step 6: Final answer
    x = 12,201.85

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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.