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Finding the Fourth Proportional to 110,356, 165,559.92 and 36,484

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Solution

The fourth proportional to 110,356, 165,559.92 and 36,484 is: 54,734.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,356 : 165,559.92 = 36,484 : x
  2. Step 2: Convert to fraction form
    110,356/165,559.92 = 36,484/x
  3. Step 3: Cross multiply
    110,356x = 165,559.92 × 36,484
  4. Step 4: Simplify right side
    110,356x = 6,040,288,121.28
  5. Step 5: Solve for x
    x = 6,040,288,121.28/110,356
  6. Step 6: Final answer
    x = 54,734.57

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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.