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Finding the Fourth Proportional to 117,283.64, 175,914.18 and 33,042.44

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Solution

The fourth proportional to 117,283.64, 175,914.18 and 33,042.44 is: 49,560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,283.64 : 175,914.18 = 33,042.44 : x
  2. Step 2: Convert to fraction form
    117,283.64/175,914.18 = 33,042.44/x
  3. Step 3: Cross multiply
    117,283.64x = 175,914.18 × 33,042.44
  4. Step 4: Simplify right side
    117,283.64x = 5,812,634,177.58
  5. Step 5: Solve for x
    x = 5,812,634,177.58/117,283.64
  6. Step 6: Final answer
    x = 49,560.49

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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.