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Finding the Fourth Proportional to 71,406.36, 107,101.44 and 18,098.10

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Solution

The fourth proportional to 71,406.36, 107,101.44 and 18,098.10 is: 27,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,406.36 : 107,101.44 = 18,098.10 : x
  2. Step 2: Convert to fraction form
    71,406.36/107,101.44 = 18,098.10/x
  3. Step 3: Cross multiply
    71,406.36x = 107,101.44 × 18,098.10
  4. Step 4: Simplify right side
    71,406.36x = 1,938,332,571.26
  5. Step 5: Solve for x
    x = 1,938,332,571.26/71,406.36
  6. Step 6: Final answer
    x = 27,145.10

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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.