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Finding the Fourth Proportional to 110,523.90, 165,850.17 and 46,477.44

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Solution

The fourth proportional to 110,523.90, 165,850.17 and 46,477.44 is: 69,743.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,523.90 : 165,850.17 = 46,477.44 : x
  2. Step 2: Convert to fraction form
    110,523.90/165,850.17 = 46,477.44/x
  3. Step 3: Cross multiply
    110,523.90x = 165,850.17 × 46,477.44
  4. Step 4: Simplify right side
    110,523.90x = 7,708,291,325.16
  5. Step 5: Solve for x
    x = 7,708,291,325.16/110,523.90
  6. Step 6: Final answer
    x = 69,743.21

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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.