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Finding the Fourth Proportional to 71,884.84, 107,837.34 and 25,127.08

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Solution

The fourth proportional to 71,884.84, 107,837.34 and 25,127.08 is: 37,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,884.84 : 107,837.34 = 25,127.08 : x
  2. Step 2: Convert to fraction form
    71,884.84/107,837.34 = 25,127.08/x
  3. Step 3: Cross multiply
    71,884.84x = 107,837.34 × 25,127.08
  4. Step 4: Simplify right side
    71,884.84x = 2,709,637,469.17
  5. Step 5: Solve for x
    x = 2,709,637,469.17/71,884.84
  6. Step 6: Final answer
    x = 37,694.14

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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.