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Finding the Fourth Proportional to 33,810.64, 50,468.24 and 29,820.46

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Solution

The fourth proportional to 33,810.64, 50,468.24 and 29,820.46 is: 44,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,810.64 : 50,468.24 = 29,820.46 : x
  2. Step 2: Convert to fraction form
    33,810.64/50,468.24 = 29,820.46/x
  3. Step 3: Cross multiply
    33,810.64x = 50,468.24 × 29,820.46
  4. Step 4: Simplify right side
    33,810.64x = 1,504,986,132.19
  5. Step 5: Solve for x
    x = 1,504,986,132.19/33,810.64
  6. Step 6: Final answer
    x = 44,512.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.