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Finding the Fourth Proportional to 110,605, 165,908.11 and 27,499

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Solution

The fourth proportional to 110,605, 165,908.11 and 27,499 is: 41,248.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,605 : 165,908.11 = 27,499 : x
  2. Step 2: Convert to fraction form
    110,605/165,908.11 = 27,499/x
  3. Step 3: Cross multiply
    110,605x = 165,908.11 × 27,499
  4. Step 4: Simplify right side
    110,605x = 4,562,307,048.14
  5. Step 5: Solve for x
    x = 4,562,307,048.14/110,605
  6. Step 6: Final answer
    x = 41,248.65

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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.