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Finding the Fourth Proportional to 110,642.88, 165,980.64 and 35,738.04

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Solution

The fourth proportional to 110,642.88, 165,980.64 and 35,738.04 is: 53,612.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,642.88 : 165,980.64 = 35,738.04 : x
  2. Step 2: Convert to fraction form
    110,642.88/165,980.64 = 35,738.04/x
  3. Step 3: Cross multiply
    110,642.88x = 165,980.64 × 35,738.04
  4. Step 4: Simplify right side
    110,642.88x = 5,931,822,751.55
  5. Step 5: Solve for x
    x = 5,931,822,751.55/110,642.88
  6. Step 6: Final answer
    x = 53,612.33

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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.