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Finding the Fourth Proportional to 117,645.21, 176,478.39 and 33,406.20

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Solution

The fourth proportional to 117,645.21, 176,478.39 and 33,406.20 is: 50,112.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,645.21 : 176,478.39 = 33,406.20 : x
  2. Step 2: Convert to fraction form
    117,645.21/176,478.39 = 33,406.20/x
  3. Step 3: Cross multiply
    117,645.21x = 176,478.39 × 33,406.20
  4. Step 4: Simplify right side
    117,645.21x = 5,895,472,392.02
  5. Step 5: Solve for x
    x = 5,895,472,392.02/117,645.21
  6. Step 6: Final answer
    x = 50,112.30

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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.