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Finding the Fourth Proportional to 32,539.26, 48,808.89 and 9,162.66

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Solution

The fourth proportional to 32,539.26, 48,808.89 and 9,162.66 is: 13,743.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,539.26 : 48,808.89 = 9,162.66 : x
  2. Step 2: Convert to fraction form
    32,539.26/48,808.89 = 9,162.66/x
  3. Step 3: Cross multiply
    32,539.26x = 48,808.89 × 9,162.66
  4. Step 4: Simplify right side
    32,539.26x = 447,219,264.05
  5. Step 5: Solve for x
    x = 447,219,264.05/32,539.26
  6. Step 6: Final answer
    x = 13,743.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.