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Finding the Fourth Proportional to 117,691.50, 176,537.25 and 34,585.50

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Solution

The fourth proportional to 117,691.50, 176,537.25 and 34,585.50 is: 51,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,691.50 : 176,537.25 = 34,585.50 : x
  2. Step 2: Convert to fraction form
    117,691.50/176,537.25 = 34,585.50/x
  3. Step 3: Cross multiply
    117,691.50x = 176,537.25 × 34,585.50
  4. Step 4: Simplify right side
    117,691.50x = 6,105,629,059.88
  5. Step 5: Solve for x
    x = 6,105,629,059.88/117,691.50
  6. Step 6: Final answer
    x = 51,878.25

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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.