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Finding the Fourth Proportional to 32,185.28, 48,284.76 and 9,998.12

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Solution

The fourth proportional to 32,185.28, 48,284.76 and 9,998.12 is: 14,999.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,185.28 : 48,284.76 = 9,998.12 : x
  2. Step 2: Convert to fraction form
    32,185.28/48,284.76 = 9,998.12/x
  3. Step 3: Cross multiply
    32,185.28x = 48,284.76 × 9,998.12
  4. Step 4: Simplify right side
    32,185.28x = 482,756,824.65
  5. Step 5: Solve for x
    x = 482,756,824.65/32,185.28
  6. Step 6: Final answer
    x = 14,999.30

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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.