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Finding the Fourth Proportional to 71,954.33, 107,931.75 and 22,034.22

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Solution

The fourth proportional to 71,954.33, 107,931.75 and 22,034.22 is: 33,051.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,954.33 : 107,931.75 = 22,034.22 : x
  2. Step 2: Convert to fraction form
    71,954.33/107,931.75 = 22,034.22/x
  3. Step 3: Cross multiply
    71,954.33x = 107,931.75 × 22,034.22
  4. Step 4: Simplify right side
    71,954.33x = 2,378,191,924.49
  5. Step 5: Solve for x
    x = 2,378,191,924.49/71,954.33
  6. Step 6: Final answer
    x = 33,051.41

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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.