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Finding the Fourth Proportional to 32,010.24, 44,184.24 and 30,338.40

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Solution

The fourth proportional to 32,010.24, 44,184.24 and 30,338.40 is: 41,876.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,010.24 : 44,184.24 = 30,338.40 : x
  2. Step 2: Convert to fraction form
    32,010.24/44,184.24 = 30,338.40/x
  3. Step 3: Cross multiply
    32,010.24x = 44,184.24 × 30,338.40
  4. Step 4: Simplify right side
    32,010.24x = 1,340,479,146.82
  5. Step 5: Solve for x
    x = 1,340,479,146.82/32,010.24
  6. Step 6: Final answer
    x = 41,876.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.