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Finding the Fourth Proportional to 37,571.52, 56,357.76 and 17,852

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Solution

The fourth proportional to 37,571.52, 56,357.76 and 17,852 is: 26,778.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,571.52 : 56,357.76 = 17,852 : x
  2. Step 2: Convert to fraction form
    37,571.52/56,357.76 = 17,852/x
  3. Step 3: Cross multiply
    37,571.52x = 56,357.76 × 17,852
  4. Step 4: Simplify right side
    37,571.52x = 1,006,098,731.52
  5. Step 5: Solve for x
    x = 1,006,098,731.52/37,571.52
  6. Step 6: Final answer
    x = 26,778.23

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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.