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Finding the Fourth Proportional to 46,443.20, 69,664.80 and 20,129.60

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Solution

The fourth proportional to 46,443.20, 69,664.80 and 20,129.60 is: 30,194.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,443.20 : 69,664.80 = 20,129.60 : x
  2. Step 2: Convert to fraction form
    46,443.20/69,664.80 = 20,129.60/x
  3. Step 3: Cross multiply
    46,443.20x = 69,664.80 × 20,129.60
  4. Step 4: Simplify right side
    46,443.20x = 1,402,324,558.08
  5. Step 5: Solve for x
    x = 1,402,324,558.08/46,443.20
  6. Step 6: Final answer
    x = 30,194.40

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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.