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Finding the Fourth Proportional to 37,375, 56,062.50 and 15,200.44

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Solution

The fourth proportional to 37,375, 56,062.50 and 15,200.44 is: 22,800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,375 : 56,062.50 = 15,200.44 : x
  2. Step 2: Convert to fraction form
    37,375/56,062.50 = 15,200.44/x
  3. Step 3: Cross multiply
    37,375x = 56,062.50 × 15,200.44
  4. Step 4: Simplify right side
    37,375x = 852,174,667.50
  5. Step 5: Solve for x
    x = 852,174,667.50/37,375
  6. Step 6: Final answer
    x = 22,800.66

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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.