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Finding the Fourth Proportional to 106,696.74, 160,045.23 and 27,810.90

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Solution

The fourth proportional to 106,696.74, 160,045.23 and 27,810.90 is: 41,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,696.74 : 160,045.23 = 27,810.90 : x
  2. Step 2: Convert to fraction form
    106,696.74/160,045.23 = 27,810.90/x
  3. Step 3: Cross multiply
    106,696.74x = 160,045.23 × 27,810.90
  4. Step 4: Simplify right side
    106,696.74x = 4,451,001,887.01
  5. Step 5: Solve for x
    x = 4,451,001,887.01/106,696.74
  6. Step 6: Final answer
    x = 41,716.38

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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.