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Finding the Fourth Proportional to 117,971.88, 176,957.82 and 33,731.38

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Solution

The fourth proportional to 117,971.88, 176,957.82 and 33,731.38 is: 50,597.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,971.88 : 176,957.82 = 33,731.38 : x
  2. Step 2: Convert to fraction form
    117,971.88/176,957.82 = 33,731.38/x
  3. Step 3: Cross multiply
    117,971.88x = 176,957.82 × 33,731.38
  4. Step 4: Simplify right side
    117,971.88x = 5,969,031,470.39
  5. Step 5: Solve for x
    x = 5,969,031,470.39/117,971.88
  6. Step 6: Final answer
    x = 50,597.07

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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.