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Finding the Fourth Proportional to 137,682.83, 206,484.54 and 37,846.28

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Solution

The fourth proportional to 137,682.83, 206,484.54 and 37,846.28 is: 56,758.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,682.83 : 206,484.54 = 37,846.28 : x
  2. Step 2: Convert to fraction form
    137,682.83/206,484.54 = 37,846.28/x
  3. Step 3: Cross multiply
    137,682.83x = 206,484.54 × 37,846.28
  4. Step 4: Simplify right side
    137,682.83x = 7,814,670,684.09
  5. Step 5: Solve for x
    x = 7,814,670,684.09/137,682.83
  6. Step 6: Final answer
    x = 56,758.50

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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.