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Finding the Fourth Proportional to 103,177.44, 154,769.76 and 33,047.64

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Solution

The fourth proportional to 103,177.44, 154,769.76 and 33,047.64 is: 49,572.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,177.44 : 154,769.76 = 33,047.64 : x
  2. Step 2: Convert to fraction form
    103,177.44/154,769.76 = 33,047.64/x
  3. Step 3: Cross multiply
    103,177.44x = 154,769.76 × 33,047.64
  4. Step 4: Simplify right side
    103,177.44x = 5,114,775,311.37
  5. Step 5: Solve for x
    x = 5,114,775,311.37/103,177.44
  6. Step 6: Final answer
    x = 49,572.61

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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.