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Finding the Fourth Proportional to 109,662.40, 164,493.60 and 50,613.40

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Solution

The fourth proportional to 109,662.40, 164,493.60 and 50,613.40 is: 75,920.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,662.40 : 164,493.60 = 50,613.40 : x
  2. Step 2: Convert to fraction form
    109,662.40/164,493.60 = 50,613.40/x
  3. Step 3: Cross multiply
    109,662.40x = 164,493.60 × 50,613.40
  4. Step 4: Simplify right side
    109,662.40x = 8,325,580,374.24
  5. Step 5: Solve for x
    x = 8,325,580,374.24/109,662.40
  6. Step 6: Final answer
    x = 75,920.10

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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.