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Finding the Fourth Proportional to 137,758.62, 206,610.54 and 37,893

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Solution

The fourth proportional to 137,758.62, 206,610.54 and 37,893 is: 56,831.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,758.62 : 206,610.54 = 37,893 : x
  2. Step 2: Convert to fraction form
    137,758.62/206,610.54 = 37,893/x
  3. Step 3: Cross multiply
    137,758.62x = 206,610.54 × 37,893
  4. Step 4: Simplify right side
    137,758.62x = 7,829,093,192.22
  5. Step 5: Solve for x
    x = 7,829,093,192.22/137,758.62
  6. Step 6: Final answer
    x = 56,831.97

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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.