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Finding the Fourth Proportional to 111,657.36, 167,483.76 and 32,769.84

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Solution

The fourth proportional to 111,657.36, 167,483.76 and 32,769.84 is: 49,154.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,657.36 : 167,483.76 = 32,769.84 : x
  2. Step 2: Convert to fraction form
    111,657.36/167,483.76 = 32,769.84/x
  3. Step 3: Cross multiply
    111,657.36x = 167,483.76 × 32,769.84
  4. Step 4: Simplify right side
    111,657.36x = 5,488,416,017.80
  5. Step 5: Solve for x
    x = 5,488,416,017.80/111,657.36
  6. Step 6: Final answer
    x = 49,154.09

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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.