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Finding the Fourth Proportional to 106,542.48, 159,885 and 44,212.98

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Solution

The fourth proportional to 106,542.48, 159,885 and 44,212.98 is: 66,349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,542.48 : 159,885 = 44,212.98 : x
  2. Step 2: Convert to fraction form
    106,542.48/159,885 = 44,212.98/x
  3. Step 3: Cross multiply
    106,542.48x = 159,885 × 44,212.98
  4. Step 4: Simplify right side
    106,542.48x = 7,068,992,307.30
  5. Step 5: Solve for x
    x = 7,068,992,307.30/106,542.48
  6. Step 6: Final answer
    x = 66,349.05

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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.