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Finding the Fourth Proportional to 37,813.50, 56,707 and 11,152.41

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Solution

The fourth proportional to 37,813.50, 56,707 and 11,152.41 is: 16,724.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,813.50 : 56,707 = 11,152.41 : x
  2. Step 2: Convert to fraction form
    37,813.50/56,707 = 11,152.41/x
  3. Step 3: Cross multiply
    37,813.50x = 56,707 × 11,152.41
  4. Step 4: Simplify right side
    37,813.50x = 632,419,713.87
  5. Step 5: Solve for x
    x = 632,419,713.87/37,813.50
  6. Step 6: Final answer
    x = 16,724.71

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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.