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Finding the Fourth Proportional to 110,049.84, 165,013.92 and 34,127.33

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Solution

The fourth proportional to 110,049.84, 165,013.92 and 34,127.33 is: 51,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,049.84 : 165,013.92 = 34,127.33 : x
  2. Step 2: Convert to fraction form
    110,049.84/165,013.92 = 34,127.33/x
  3. Step 3: Cross multiply
    110,049.84x = 165,013.92 × 34,127.33
  4. Step 4: Simplify right side
    110,049.84x = 5,631,483,677.36
  5. Step 5: Solve for x
    x = 5,631,483,677.36/110,049.84
  6. Step 6: Final answer
    x = 51,172.12

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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.