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Finding the Fourth Proportional to 117,961.20, 176,941.80 and 33,721.20

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Solution

The fourth proportional to 117,961.20, 176,941.80 and 33,721.20 is: 50,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,961.20 : 176,941.80 = 33,721.20 : x
  2. Step 2: Convert to fraction form
    117,961.20/176,941.80 = 33,721.20/x
  3. Step 3: Cross multiply
    117,961.20x = 176,941.80 × 33,721.20
  4. Step 4: Simplify right side
    117,961.20x = 5,966,689,826.16
  5. Step 5: Solve for x
    x = 5,966,689,826.16/117,961.20
  6. Step 6: Final answer
    x = 50,581.80

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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.