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Finding the Fourth Proportional to 32,282.98, 48,427.25 and 8,909.42

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Solution

The fourth proportional to 32,282.98, 48,427.25 and 8,909.42 is: 13,364.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,282.98 : 48,427.25 = 8,909.42 : x
  2. Step 2: Convert to fraction form
    32,282.98/48,427.25 = 8,909.42/x
  3. Step 3: Cross multiply
    32,282.98x = 48,427.25 × 8,909.42
  4. Step 4: Simplify right side
    32,282.98x = 431,458,473.13
  5. Step 5: Solve for x
    x = 431,458,473.13/32,282.98
  6. Step 6: Final answer
    x = 13,364.89

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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.