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Finding the Fourth Proportional to 110,583.90, 165,940.65 and 40,470.30

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Solution

The fourth proportional to 110,583.90, 165,940.65 and 40,470.30 is: 60,729.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,583.90 : 165,940.65 = 40,470.30 : x
  2. Step 2: Convert to fraction form
    110,583.90/165,940.65 = 40,470.30/x
  3. Step 3: Cross multiply
    110,583.90x = 165,940.65 × 40,470.30
  4. Step 4: Simplify right side
    110,583.90x = 6,715,667,887.70
  5. Step 5: Solve for x
    x = 6,715,667,887.70/110,583.90
  6. Step 6: Final answer
    x = 60,729.16

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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.