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Finding the Fourth Proportional to 137,571.52, 206,357.56 and 37,733.14

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Solution

The fourth proportional to 137,571.52, 206,357.56 and 37,733.14 is: 56,599.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,571.52 : 206,357.56 = 37,733.14 : x
  2. Step 2: Convert to fraction form
    137,571.52/206,357.56 = 37,733.14/x
  3. Step 3: Cross multiply
    137,571.52x = 206,357.56 × 37,733.14
  4. Step 4: Simplify right side
    137,571.52x = 7,786,518,701.54
  5. Step 5: Solve for x
    x = 7,786,518,701.54/137,571.52
  6. Step 6: Final answer
    x = 56,599.79

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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.