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Finding the Fourth Proportional to 106,558.68, 159,800.40 and 35,462.10

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Solution

The fourth proportional to 106,558.68, 159,800.40 and 35,462.10 is: 53,180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,558.68 : 159,800.40 = 35,462.10 : x
  2. Step 2: Convert to fraction form
    106,558.68/159,800.40 = 35,462.10/x
  3. Step 3: Cross multiply
    106,558.68x = 159,800.40 × 35,462.10
  4. Step 4: Simplify right side
    106,558.68x = 5,666,857,764.84
  5. Step 5: Solve for x
    x = 5,666,857,764.84/106,558.68
  6. Step 6: Final answer
    x = 53,180.63

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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.