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Finding the Fourth Proportional to 32,189.33, 48,284.00 and 9,996.75

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Solution

The fourth proportional to 32,189.33, 48,284.00 and 9,996.75 is: 14,995.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,189.33 : 48,284.00 = 9,996.75 : x
  2. Step 2: Convert to fraction form
    32,189.33/48,284.00 = 9,996.75/x
  3. Step 3: Cross multiply
    32,189.33x = 48,284.00 × 9,996.75
  4. Step 4: Simplify right side
    32,189.33x = 482,683,064.50
  5. Step 5: Solve for x
    x = 482,683,064.50/32,189.33
  6. Step 6: Final answer
    x = 14,995.13

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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.