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Finding the Fourth Proportional to 110,354, 165,556.92 and 36,482

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Solution

The fourth proportional to 110,354, 165,556.92 and 36,482 is: 54,731.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,354 : 165,556.92 = 36,482 : x
  2. Step 2: Convert to fraction form
    110,354/165,556.92 = 36,482/x
  3. Step 3: Cross multiply
    110,354x = 165,556.92 × 36,482
  4. Step 4: Simplify right side
    110,354x = 6,039,847,555.44
  5. Step 5: Solve for x
    x = 6,039,847,555.44/110,354
  6. Step 6: Final answer
    x = 54,731.57

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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.