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Finding the Fourth Proportional to 110,583.20, 165,874.80 and 40,469.60

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Solution

The fourth proportional to 110,583.20, 165,874.80 and 40,469.60 is: 60,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,583.20 : 165,874.80 = 40,469.60 : x
  2. Step 2: Convert to fraction form
    110,583.20/165,874.80 = 40,469.60/x
  3. Step 3: Cross multiply
    110,583.20x = 165,874.80 × 40,469.60
  4. Step 4: Simplify right side
    110,583.20x = 6,712,886,806.08
  5. Step 5: Solve for x
    x = 6,712,886,806.08/110,583.20
  6. Step 6: Final answer
    x = 60,704.40

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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.