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Finding the Fourth Proportional to 110,641.70, 165,962.55 and 36,769.70

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Solution

The fourth proportional to 110,641.70, 165,962.55 and 36,769.70 is: 55,154.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,641.70 : 165,962.55 = 36,769.70 : x
  2. Step 2: Convert to fraction form
    110,641.70/165,962.55 = 36,769.70/x
  3. Step 3: Cross multiply
    110,641.70x = 165,962.55 × 36,769.70
  4. Step 4: Simplify right side
    110,641.70x = 6,102,393,174.74
  5. Step 5: Solve for x
    x = 6,102,393,174.74/110,641.70
  6. Step 6: Final answer
    x = 55,154.55

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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.