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Finding the Fourth Proportional to 110,465.60, 165,722.70 and 35,589.20

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Solution

The fourth proportional to 110,465.60, 165,722.70 and 35,589.20 is: 53,391.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,465.60 : 165,722.70 = 35,589.20 : x
  2. Step 2: Convert to fraction form
    110,465.60/165,722.70 = 35,589.20/x
  3. Step 3: Cross multiply
    110,465.60x = 165,722.70 × 35,589.20
  4. Step 4: Simplify right side
    110,465.60x = 5,897,938,314.84
  5. Step 5: Solve for x
    x = 5,897,938,314.84/110,465.60
  6. Step 6: Final answer
    x = 53,391.63

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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.