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Finding the Fourth Proportional to 41,901.50, 57,824.34 and 23,039.30

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Solution

The fourth proportional to 41,901.50, 57,824.34 and 23,039.30 is: 31,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,901.50 : 57,824.34 = 23,039.30 : x
  2. Step 2: Convert to fraction form
    41,901.50/57,824.34 = 23,039.30/x
  3. Step 3: Cross multiply
    41,901.50x = 57,824.34 × 23,039.30
  4. Step 4: Simplify right side
    41,901.50x = 1,332,232,316.56
  5. Step 5: Solve for x
    x = 1,332,232,316.56/41,901.50
  6. Step 6: Final answer
    x = 31,794.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.