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Finding the Fourth Proportional to 32,106.44, 44,306.96 and 17,767.31

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Solution

The fourth proportional to 32,106.44, 44,306.96 and 17,767.31 is: 24,518.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,106.44 : 44,306.96 = 17,767.31 : x
  2. Step 2: Convert to fraction form
    32,106.44/44,306.96 = 17,767.31/x
  3. Step 3: Cross multiply
    32,106.44x = 44,306.96 × 17,767.31
  4. Step 4: Simplify right side
    32,106.44x = 787,215,493.48
  5. Step 5: Solve for x
    x = 787,215,493.48/32,106.44
  6. Step 6: Final answer
    x = 24,518.93

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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.