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Finding the Fourth Proportional to 36,456, 50,294.88 and 23,022.24

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Solution

The fourth proportional to 36,456, 50,294.88 and 23,022.24 is: 31,761.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,456 : 50,294.88 = 23,022.24 : x
  2. Step 2: Convert to fraction form
    36,456/50,294.88 = 23,022.24/x
  3. Step 3: Cross multiply
    36,456x = 50,294.88 × 23,022.24
  4. Step 4: Simplify right side
    36,456x = 1,157,900,798.13
  5. Step 5: Solve for x
    x = 1,157,900,798.13/36,456
  6. Step 6: Final answer
    x = 31,761.60

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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.