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Finding the Fourth Proportional to 110,674.60, 165,984.90 and 31,780.60

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Solution

The fourth proportional to 110,674.60, 165,984.90 and 31,780.60 is: 47,663.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,674.60 : 165,984.90 = 31,780.60 : x
  2. Step 2: Convert to fraction form
    110,674.60/165,984.90 = 31,780.60/x
  3. Step 3: Cross multiply
    110,674.60x = 165,984.90 × 31,780.60
  4. Step 4: Simplify right side
    110,674.60x = 5,275,099,712.94
  5. Step 5: Solve for x
    x = 5,275,099,712.94/110,674.60
  6. Step 6: Final answer
    x = 47,663.15

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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.