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Finding the Fourth Proportional to 32,561.19, 48,834.39 and 9,189.45

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Solution

The fourth proportional to 32,561.19, 48,834.39 and 9,189.45 is: 13,782.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,561.19 : 48,834.39 = 9,189.45 : x
  2. Step 2: Convert to fraction form
    32,561.19/48,834.39 = 9,189.45/x
  3. Step 3: Cross multiply
    32,561.19x = 48,834.39 × 9,189.45
  4. Step 4: Simplify right side
    32,561.19x = 448,761,219.65
  5. Step 5: Solve for x
    x = 448,761,219.65/32,561.19
  6. Step 6: Final answer
    x = 13,782.09

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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.