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Finding the Fourth Proportional to 111,872.84, 167,754.72 and 39,801.76

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Solution

The fourth proportional to 111,872.84, 167,754.72 and 39,801.76 is: 59,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,872.84 : 167,754.72 = 39,801.76 : x
  2. Step 2: Convert to fraction form
    111,872.84/167,754.72 = 39,801.76/x
  3. Step 3: Cross multiply
    111,872.84x = 167,754.72 × 39,801.76
  4. Step 4: Simplify right side
    111,872.84x = 6,676,933,104.31
  5. Step 5: Solve for x
    x = 6,676,933,104.31/111,872.84
  6. Step 6: Final answer
    x = 59,683.24

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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.