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Finding the Fourth Proportional to 94,022.96, 141,034.88 and 31,694

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Solution

The fourth proportional to 94,022.96, 141,034.88 and 31,694 is: 47,541.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,022.96 : 141,034.88 = 31,694 : x
  2. Step 2: Convert to fraction form
    94,022.96/141,034.88 = 31,694/x
  3. Step 3: Cross multiply
    94,022.96x = 141,034.88 × 31,694
  4. Step 4: Simplify right side
    94,022.96x = 4,469,959,486.72
  5. Step 5: Solve for x
    x = 4,469,959,486.72/94,022.96
  6. Step 6: Final answer
    x = 47,541.15

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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.