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Finding the Fourth Proportional to 34,189.41, 51,288.21 and 32,323.17

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Solution

The fourth proportional to 34,189.41, 51,288.21 and 32,323.17 is: 48,488.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,189.41 : 51,288.21 = 32,323.17 : x
  2. Step 2: Convert to fraction form
    34,189.41/51,288.21 = 32,323.17/x
  3. Step 3: Cross multiply
    34,189.41x = 51,288.21 × 32,323.17
  4. Step 4: Simplify right side
    34,189.41x = 1,657,797,530.83
  5. Step 5: Solve for x
    x = 1,657,797,530.83/34,189.41
  6. Step 6: Final answer
    x = 48,488.63

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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.