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Finding the Fourth Proportional to 32,022.40, 48,004.80 and 20,329.60

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Solution

The fourth proportional to 32,022.40, 48,004.80 and 20,329.60 is: 30,476.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,022.40 : 48,004.80 = 20,329.60 : x
  2. Step 2: Convert to fraction form
    32,022.40/48,004.80 = 20,329.60/x
  3. Step 3: Cross multiply
    32,022.40x = 48,004.80 × 20,329.60
  4. Step 4: Simplify right side
    32,022.40x = 975,918,382.08
  5. Step 5: Solve for x
    x = 975,918,382.08/32,022.40
  6. Step 6: Final answer
    x = 30,476.12

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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.