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Finding the Fourth Proportional to 37,838.75, 56,821.37 and 23,640.22

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Solution

The fourth proportional to 37,838.75, 56,821.37 and 23,640.22 is: 35,499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,838.75 : 56,821.37 = 23,640.22 : x
  2. Step 2: Convert to fraction form
    37,838.75/56,821.37 = 23,640.22/x
  3. Step 3: Cross multiply
    37,838.75x = 56,821.37 × 23,640.22
  4. Step 4: Simplify right side
    37,838.75x = 1,343,269,640.33
  5. Step 5: Solve for x
    x = 1,343,269,640.33/37,838.75
  6. Step 6: Final answer
    x = 35,499.85

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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.