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Finding the Fourth Proportional to 102,062.70, 153,092.97 and 31,942.62

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Solution

The fourth proportional to 102,062.70, 153,092.97 and 31,942.62 is: 47,913.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,062.70 : 153,092.97 = 31,942.62 : x
  2. Step 2: Convert to fraction form
    102,062.70/153,092.97 = 31,942.62/x
  3. Step 3: Cross multiply
    102,062.70x = 153,092.97 × 31,942.62
  4. Step 4: Simplify right side
    102,062.70x = 4,890,190,565.38
  5. Step 5: Solve for x
    x = 4,890,190,565.38/102,062.70
  6. Step 6: Final answer
    x = 47,913.59

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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.