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Finding the Fourth Proportional to 137,685.84, 206,489.04 and 37,849.29

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Solution

The fourth proportional to 137,685.84, 206,489.04 and 37,849.29 is: 56,763.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,685.84 : 206,489.04 = 37,849.29 : x
  2. Step 2: Convert to fraction form
    137,685.84/206,489.04 = 37,849.29/x
  3. Step 3: Cross multiply
    137,685.84x = 206,489.04 × 37,849.29
  4. Step 4: Simplify right side
    137,685.84x = 7,815,463,556.78
  5. Step 5: Solve for x
    x = 7,815,463,556.78/137,685.84
  6. Step 6: Final answer
    x = 56,763.02

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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.