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Finding the Fourth Proportional to 32,022.30, 48,004.65 and 20,934.30

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Solution

The fourth proportional to 32,022.30, 48,004.65 and 20,934.30 is: 31,382.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,022.30 : 48,004.65 = 20,934.30 : x
  2. Step 2: Convert to fraction form
    32,022.30/48,004.65 = 20,934.30/x
  3. Step 3: Cross multiply
    32,022.30x = 48,004.65 × 20,934.30
  4. Step 4: Simplify right side
    32,022.30x = 1,004,943,744.50
  5. Step 5: Solve for x
    x = 1,004,943,744.50/32,022.30
  6. Step 6: Final answer
    x = 31,382.62

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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.