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Finding the Fourth Proportional to 110,065.40, 165,098.10 and 31,178.60

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Solution

The fourth proportional to 110,065.40, 165,098.10 and 31,178.60 is: 46,767.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,065.40 : 165,098.10 = 31,178.60 : x
  2. Step 2: Convert to fraction form
    110,065.40/165,098.10 = 31,178.60/x
  3. Step 3: Cross multiply
    110,065.40x = 165,098.10 × 31,178.60
  4. Step 4: Simplify right side
    110,065.40x = 5,147,527,620.66
  5. Step 5: Solve for x
    x = 5,147,527,620.66/110,065.40
  6. Step 6: Final answer
    x = 46,767.90

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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.