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Finding the Fourth Proportional to 32,758.13, 49,137.20 and 8,134.13

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Solution

The fourth proportional to 32,758.13, 49,137.20 and 8,134.13 is: 12,201.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,758.13 : 49,137.20 = 8,134.13 : x
  2. Step 2: Convert to fraction form
    32,758.13/49,137.20 = 8,134.13/x
  3. Step 3: Cross multiply
    32,758.13x = 49,137.20 × 8,134.13
  4. Step 4: Simplify right side
    32,758.13x = 399,688,086.28
  5. Step 5: Solve for x
    x = 399,688,086.28/32,758.13
  6. Step 6: Final answer
    x = 12,201.19

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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.