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Finding the Fourth Proportional to 75,991.65, 113,989.78 and 26,071.03

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Solution

The fourth proportional to 75,991.65, 113,989.78 and 26,071.03 is: 39,107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,991.65 : 113,989.78 = 26,071.03 : x
  2. Step 2: Convert to fraction form
    75,991.65/113,989.78 = 26,071.03/x
  3. Step 3: Cross multiply
    75,991.65x = 113,989.78 × 26,071.03
  4. Step 4: Simplify right side
    75,991.65x = 2,971,830,754.28
  5. Step 5: Solve for x
    x = 2,971,830,754.28/75,991.65
  6. Step 6: Final answer
    x = 39,107.33

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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.