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Finding the Fourth Proportional to 106,011.44, 159,024.52 and 35,867.04

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Solution

The fourth proportional to 106,011.44, 159,024.52 and 35,867.04 is: 53,803.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,011.44 : 159,024.52 = 35,867.04 : x
  2. Step 2: Convert to fraction form
    106,011.44/159,024.52 = 35,867.04/x
  3. Step 3: Cross multiply
    106,011.44x = 159,024.52 × 35,867.04
  4. Step 4: Simplify right side
    106,011.44x = 5,703,738,819.82
  5. Step 5: Solve for x
    x = 5,703,738,819.82/106,011.44
  6. Step 6: Final answer
    x = 53,803.05

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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.