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Finding the Fourth Proportional to 110,483.17, 165,724.67 and 27,377.17

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Solution

The fourth proportional to 110,483.17, 165,724.67 and 27,377.17 is: 41,065.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,483.17 : 165,724.67 = 27,377.17 : x
  2. Step 2: Convert to fraction form
    110,483.17/165,724.67 = 27,377.17/x
  3. Step 3: Cross multiply
    110,483.17x = 165,724.67 × 27,377.17
  4. Step 4: Simplify right side
    110,483.17x = 4,537,072,326.90
  5. Step 5: Solve for x
    x = 4,537,072,326.90/110,483.17
  6. Step 6: Final answer
    x = 41,065.73

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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.