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Finding the Fourth Proportional to 44,663.40, 66,932.54 and 33,563

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Solution

The fourth proportional to 44,663.40, 66,932.54 and 33,563 is: 50,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,663.40 : 66,932.54 = 33,563 : x
  2. Step 2: Convert to fraction form
    44,663.40/66,932.54 = 33,563/x
  3. Step 3: Cross multiply
    44,663.40x = 66,932.54 × 33,563
  4. Step 4: Simplify right side
    44,663.40x = 2,246,456,840.02
  5. Step 5: Solve for x
    x = 2,246,456,840.02/44,663.40
  6. Step 6: Final answer
    x = 50,297.49

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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.