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Finding the Fourth Proportional to 32,098.56, 44,296.32 and 17,952.16

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Solution

The fourth proportional to 32,098.56, 44,296.32 and 17,952.16 is: 24,774.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098.56 : 44,296.32 = 17,952.16 : x
  2. Step 2: Convert to fraction form
    32,098.56/44,296.32 = 17,952.16/x
  3. Step 3: Cross multiply
    32,098.56x = 44,296.32 × 17,952.16
  4. Step 4: Simplify right side
    32,098.56x = 795,214,624.05
  5. Step 5: Solve for x
    x = 795,214,624.05/32,098.56
  6. Step 6: Final answer
    x = 24,774.15

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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.