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Finding the Fourth Proportional to 110,601, 165,902.11 and 27,495

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Solution

The fourth proportional to 110,601, 165,902.11 and 27,495 is: 41,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,601 : 165,902.11 = 27,495 : x
  2. Step 2: Convert to fraction form
    110,601/165,902.11 = 27,495/x
  3. Step 3: Cross multiply
    110,601x = 165,902.11 × 27,495
  4. Step 4: Simplify right side
    110,601x = 4,561,478,445.71
  5. Step 5: Solve for x
    x = 4,561,478,445.71/110,601
  6. Step 6: Final answer
    x = 41,242.65

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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.