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Finding the Fourth Proportional to 33,784.88, 50,677.34 and 9,160.88

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Solution

The fourth proportional to 33,784.88, 50,677.34 and 9,160.88 is: 13,741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,784.88 : 50,677.34 = 9,160.88 : x
  2. Step 2: Convert to fraction form
    33,784.88/50,677.34 = 9,160.88/x
  3. Step 3: Cross multiply
    33,784.88x = 50,677.34 × 9,160.88
  4. Step 4: Simplify right side
    33,784.88x = 464,248,731.27
  5. Step 5: Solve for x
    x = 464,248,731.27/33,784.88
  6. Step 6: Final answer
    x = 13,741.32

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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.