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Finding the Fourth Proportional to 32,098.28, 44,297.76 and 17,950.28

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Solution

The fourth proportional to 32,098.28, 44,297.76 and 17,950.28 is: 24,772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098.28 : 44,297.76 = 17,950.28 : x
  2. Step 2: Convert to fraction form
    32,098.28/44,297.76 = 17,950.28/x
  3. Step 3: Cross multiply
    32,098.28x = 44,297.76 × 17,950.28
  4. Step 4: Simplify right side
    32,098.28x = 795,157,195.37
  5. Step 5: Solve for x
    x = 795,157,195.37/32,098.28
  6. Step 6: Final answer
    x = 24,772.58

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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.