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Finding the Fourth Proportional to 117,871.28, 176,812.76 and 33,643.88

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Solution

The fourth proportional to 117,871.28, 176,812.76 and 33,643.88 is: 50,467.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,871.28 : 176,812.76 = 33,643.88 : x
  2. Step 2: Convert to fraction form
    117,871.28/176,812.76 = 33,643.88/x
  3. Step 3: Cross multiply
    117,871.28x = 176,812.76 × 33,643.88
  4. Step 4: Simplify right side
    117,871.28x = 5,948,667,279.91
  5. Step 5: Solve for x
    x = 5,948,667,279.91/117,871.28
  6. Step 6: Final answer
    x = 50,467.49

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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.