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Finding the Fourth Proportional to 117,967.20, 176,915.04 and 33,721.76

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Solution

The fourth proportional to 117,967.20, 176,915.04 and 33,721.76 is: 50,572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,967.20 : 176,915.04 = 33,721.76 : x
  2. Step 2: Convert to fraction form
    117,967.20/176,915.04 = 33,721.76/x
  3. Step 3: Cross multiply
    117,967.20x = 176,915.04 × 33,721.76
  4. Step 4: Simplify right side
    117,967.20x = 5,965,886,519.27
  5. Step 5: Solve for x
    x = 5,965,886,519.27/117,967.20
  6. Step 6: Final answer
    x = 50,572.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.