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Finding the Fourth Proportional to 43,189.44, 64,745.28 and 15,468

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Solution

The fourth proportional to 43,189.44, 64,745.28 and 15,468 is: 23,188.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,189.44 : 64,745.28 = 15,468 : x
  2. Step 2: Convert to fraction form
    43,189.44/64,745.28 = 15,468/x
  3. Step 3: Cross multiply
    43,189.44x = 64,745.28 × 15,468
  4. Step 4: Simplify right side
    43,189.44x = 1,001,479,991.04
  5. Step 5: Solve for x
    x = 1,001,479,991.04/43,189.44
  6. Step 6: Final answer
    x = 23,188.08

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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.