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Finding the Fourth Proportional to 37,825.20, 56,737.80 and 31,993.20

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Solution

The fourth proportional to 37,825.20, 56,737.80 and 31,993.20 is: 47,989.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,825.20 : 56,737.80 = 31,993.20 : x
  2. Step 2: Convert to fraction form
    37,825.20/56,737.80 = 31,993.20/x
  3. Step 3: Cross multiply
    37,825.20x = 56,737.80 × 31,993.20
  4. Step 4: Simplify right side
    37,825.20x = 1,815,223,782.96
  5. Step 5: Solve for x
    x = 1,815,223,782.96/37,825.20
  6. Step 6: Final answer
    x = 47,989.80

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1.5x scale

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.