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Finding the Fourth Proportional to 106,049.73, 159,070.95 and 27,164.64

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Solution

The fourth proportional to 106,049.73, 159,070.95 and 27,164.64 is: 40,746.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,049.73 : 159,070.95 = 27,164.64 : x
  2. Step 2: Convert to fraction form
    106,049.73/159,070.95 = 27,164.64/x
  3. Step 3: Cross multiply
    106,049.73x = 159,070.95 × 27,164.64
  4. Step 4: Simplify right side
    106,049.73x = 4,321,105,091.21
  5. Step 5: Solve for x
    x = 4,321,105,091.21/106,049.73
  6. Step 6: Final answer
    x = 40,746.03

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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.