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Finding the Fourth Proportional to 33,645.30, 50,468.13 and 11,461.02

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Solution

The fourth proportional to 33,645.30, 50,468.13 and 11,461.02 is: 17,191.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,645.30 : 50,468.13 = 11,461.02 : x
  2. Step 2: Convert to fraction form
    33,645.30/50,468.13 = 11,461.02/x
  3. Step 3: Cross multiply
    33,645.30x = 50,468.13 × 11,461.02
  4. Step 4: Simplify right side
    33,645.30x = 578,416,247.29
  5. Step 5: Solve for x
    x = 578,416,247.29/33,645.30
  6. Step 6: Final answer
    x = 17,191.59

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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.