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Finding the Fourth Proportional to 106,642.67, 159,963.48 and 27,756.77

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Solution

The fourth proportional to 106,642.67, 159,963.48 and 27,756.77 is: 41,635.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,642.67 : 159,963.48 = 27,756.77 : x
  2. Step 2: Convert to fraction form
    106,642.67/159,963.48 = 27,756.77/x
  3. Step 3: Cross multiply
    106,642.67x = 159,963.48 × 27,756.77
  4. Step 4: Simplify right side
    106,642.67x = 4,440,068,722.94
  5. Step 5: Solve for x
    x = 4,440,068,722.94/106,642.67
  6. Step 6: Final answer
    x = 41,635.01

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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.