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Finding the Fourth Proportional to 33,825.64, 50,732.70 and 10,445.80

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Solution

The fourth proportional to 33,825.64, 50,732.70 and 10,445.80 is: 15,666.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,825.64 : 50,732.70 = 10,445.80 : x
  2. Step 2: Convert to fraction form
    33,825.64/50,732.70 = 10,445.80/x
  3. Step 3: Cross multiply
    33,825.64x = 50,732.70 × 10,445.80
  4. Step 4: Simplify right side
    33,825.64x = 529,943,637.66
  5. Step 5: Solve for x
    x = 529,943,637.66/33,825.64
  6. Step 6: Final answer
    x = 15,666.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.