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Finding the Fourth Proportional to 94,892.74, 142,353.87 and 31,693.30

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Solution

The fourth proportional to 94,892.74, 142,353.87 and 31,693.30 is: 47,544.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,892.74 : 142,353.87 = 31,693.30 : x
  2. Step 2: Convert to fraction form
    94,892.74/142,353.87 = 31,693.30/x
  3. Step 3: Cross multiply
    94,892.74x = 142,353.87 × 31,693.30
  4. Step 4: Simplify right side
    94,892.74x = 4,511,663,908.07
  5. Step 5: Solve for x
    x = 4,511,663,908.07/94,892.74
  6. Step 6: Final answer
    x = 47,544.88

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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.