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Finding the Fourth Proportional to 71,664.40, 107,464.20 and 32,201.20

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Solution

The fourth proportional to 71,664.40, 107,464.20 and 32,201.20 is: 48,287.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,664.40 : 107,464.20 = 32,201.20 : x
  2. Step 2: Convert to fraction form
    71,664.40/107,464.20 = 32,201.20/x
  3. Step 3: Cross multiply
    71,664.40x = 107,464.20 × 32,201.20
  4. Step 4: Simplify right side
    71,664.40x = 3,460,476,197.04
  5. Step 5: Solve for x
    x = 3,460,476,197.04/71,664.40
  6. Step 6: Final answer
    x = 48,287.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.