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Finding the Fourth Proportional to 106,506.24, 159,774.72 and 32,640

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Solution

The fourth proportional to 106,506.24, 159,774.72 and 32,640 is: 48,964.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,506.24 : 159,774.72 = 32,640 : x
  2. Step 2: Convert to fraction form
    106,506.24/159,774.72 = 32,640/x
  3. Step 3: Cross multiply
    106,506.24x = 159,774.72 × 32,640
  4. Step 4: Simplify right side
    106,506.24x = 5,215,046,860.80
  5. Step 5: Solve for x
    x = 5,215,046,860.80/106,506.24
  6. Step 6: Final answer
    x = 48,964.71

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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.