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Finding the Fourth Proportional to 110,524, 165,873.36 and 48,238.24

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Solution

The fourth proportional to 110,524, 165,873.36 and 48,238.24 is: 72,395.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,524 : 165,873.36 = 48,238.24 : x
  2. Step 2: Convert to fraction form
    110,524/165,873.36 = 48,238.24/x
  3. Step 3: Cross multiply
    110,524x = 165,873.36 × 48,238.24
  4. Step 4: Simplify right side
    110,524x = 8,001,438,949.29
  5. Step 5: Solve for x
    x = 8,001,438,949.29/110,524
  6. Step 6: Final answer
    x = 72,395.49

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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.