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Finding the Fourth Proportional to 73,849.68, 101,912.46 and 40,315.68

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Solution

The fourth proportional to 73,849.68, 101,912.46 and 40,315.68 is: 55,635.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,849.68 : 101,912.46 = 40,315.68 : x
  2. Step 2: Convert to fraction form
    73,849.68/101,912.46 = 40,315.68/x
  3. Step 3: Cross multiply
    73,849.68x = 101,912.46 × 40,315.68
  4. Step 4: Simplify right side
    73,849.68x = 4,108,670,125.37
  5. Step 5: Solve for x
    x = 4,108,670,125.37/73,849.68
  6. Step 6: Final answer
    x = 55,635.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.