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Finding the Fourth Proportional to 32,282.75, 48,426.90 and 8,909.18

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Solution

The fourth proportional to 32,282.75, 48,426.90 and 8,909.18 is: 13,364.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,282.75 : 48,426.90 = 8,909.18 : x
  2. Step 2: Convert to fraction form
    32,282.75/48,426.90 = 8,909.18/x
  3. Step 3: Cross multiply
    32,282.75x = 48,426.90 × 8,909.18
  4. Step 4: Simplify right side
    32,282.75x = 431,444,090.01
  5. Step 5: Solve for x
    x = 431,444,090.01/32,282.75
  6. Step 6: Final answer
    x = 13,364.54

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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.