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Finding the Fourth Proportional to 106,578.45, 159,870.42 and 50,444.82

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Solution

The fourth proportional to 106,578.45, 159,870.42 and 50,444.82 is: 75,668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,578.45 : 159,870.42 = 50,444.82 : x
  2. Step 2: Convert to fraction form
    106,578.45/159,870.42 = 50,444.82/x
  3. Step 3: Cross multiply
    106,578.45x = 159,870.42 × 50,444.82
  4. Step 4: Simplify right side
    106,578.45x = 8,064,634,560.22
  5. Step 5: Solve for x
    x = 8,064,634,560.22/106,578.45
  6. Step 6: Final answer
    x = 75,668.53

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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.