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Finding the Fourth Proportional to 117,381.47, 176,069.07 and 33,147.45

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Solution

The fourth proportional to 117,381.47, 176,069.07 and 33,147.45 is: 49,720.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,381.47 : 176,069.07 = 33,147.45 : x
  2. Step 2: Convert to fraction form
    117,381.47/176,069.07 = 33,147.45/x
  3. Step 3: Cross multiply
    117,381.47x = 176,069.07 × 33,147.45
  4. Step 4: Simplify right side
    117,381.47x = 5,836,240,694.37
  5. Step 5: Solve for x
    x = 5,836,240,694.37/117,381.47
  6. Step 6: Final answer
    x = 49,720.29

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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.