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Finding the Fourth Proportional to 32,006.14, 44,176.36 and 19,441.42

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Solution

The fourth proportional to 32,006.14, 44,176.36 and 19,441.42 is: 26,833.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,006.14 : 44,176.36 = 19,441.42 : x
  2. Step 2: Convert to fraction form
    32,006.14/44,176.36 = 19,441.42/x
  3. Step 3: Cross multiply
    32,006.14x = 44,176.36 × 19,441.42
  4. Step 4: Simplify right side
    32,006.14x = 858,851,168.83
  5. Step 5: Solve for x
    x = 858,851,168.83/32,006.14
  6. Step 6: Final answer
    x = 26,833.95

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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.