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Finding the Fourth Proportional to 43,200, 64,806.48 and 15,504.48

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Solution

The fourth proportional to 43,200, 64,806.48 and 15,504.48 is: 23,259.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,200 : 64,806.48 = 15,504.48 : x
  2. Step 2: Convert to fraction form
    43,200/64,806.48 = 15,504.48/x
  3. Step 3: Cross multiply
    43,200x = 64,806.48 × 15,504.48
  4. Step 4: Simplify right side
    43,200x = 1,004,790,773.03
  5. Step 5: Solve for x
    x = 1,004,790,773.03/43,200
  6. Step 6: Final answer
    x = 23,259.05

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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.