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Finding the Fourth Proportional to 110,162.83, 165,243.91 and 31,277.11

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Solution

The fourth proportional to 110,162.83, 165,243.91 and 31,277.11 is: 46,915.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,162.83 : 165,243.91 = 31,277.11 : x
  2. Step 2: Convert to fraction form
    110,162.83/165,243.91 = 31,277.11/x
  3. Step 3: Cross multiply
    110,162.83x = 165,243.91 × 31,277.11
  4. Step 4: Simplify right side
    110,162.83x = 5,168,351,949.90
  5. Step 5: Solve for x
    x = 5,168,351,949.90/110,162.83
  6. Step 6: Final answer
    x = 46,915.57

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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.