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Finding the Fourth Proportional to 32,412.12, 48,626.82 and 11,635.80

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Solution

The fourth proportional to 32,412.12, 48,626.82 and 11,635.80 is: 17,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412.12 : 48,626.82 = 11,635.80 : x
  2. Step 2: Convert to fraction form
    32,412.12/48,626.82 = 11,635.80/x
  3. Step 3: Cross multiply
    32,412.12x = 48,626.82 × 11,635.80
  4. Step 4: Simplify right side
    32,412.12x = 565,811,952.16
  5. Step 5: Solve for x
    x = 565,811,952.16/32,412.12
  6. Step 6: Final answer
    x = 17,456.80

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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.