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Finding the Fourth Proportional to 32,651.32, 49,034.40 and 32,183.84

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Solution

The fourth proportional to 32,651.32, 49,034.40 and 32,183.84 is: 48,332.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,651.32 : 49,034.40 = 32,183.84 : x
  2. Step 2: Convert to fraction form
    32,651.32/49,034.40 = 32,183.84/x
  3. Step 3: Cross multiply
    32,651.32x = 49,034.40 × 32,183.84
  4. Step 4: Simplify right side
    32,651.32x = 1,578,115,284.10
  5. Step 5: Solve for x
    x = 1,578,115,284.10/32,651.32
  6. Step 6: Final answer
    x = 48,332.36

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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.