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Finding the Fourth Proportional to 106,166.53, 159,274.42 and 36,045.84

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Solution

The fourth proportional to 106,166.53, 159,274.42 and 36,045.84 is: 54,077.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,166.53 : 159,274.42 = 36,045.84 : x
  2. Step 2: Convert to fraction form
    106,166.53/159,274.42 = 36,045.84/x
  3. Step 3: Cross multiply
    106,166.53x = 159,274.42 × 36,045.84
  4. Step 4: Simplify right side
    106,166.53x = 5,741,180,766.58
  5. Step 5: Solve for x
    x = 5,741,180,766.58/106,166.53
  6. Step 6: Final answer
    x = 54,077.12

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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.