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Finding the Fourth Proportional to 32,098.14, 44,296.66 and 17,950.98

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Solution

The fourth proportional to 32,098.14, 44,296.66 and 17,950.98 is: 24,773.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098.14 : 44,296.66 = 17,950.98 : x
  2. Step 2: Convert to fraction form
    32,098.14/44,296.66 = 17,950.98/x
  3. Step 3: Cross multiply
    32,098.14x = 44,296.66 × 17,950.98
  4. Step 4: Simplify right side
    32,098.14x = 795,168,457.73
  5. Step 5: Solve for x
    x = 795,168,457.73/32,098.14
  6. Step 6: Final answer
    x = 24,773.04

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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.