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Finding the Fourth Proportional to 33,207.66, 49,812.82 and 11,023.02

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Solution

The fourth proportional to 33,207.66, 49,812.82 and 11,023.02 is: 16,534.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,207.66 : 49,812.82 = 11,023.02 : x
  2. Step 2: Convert to fraction form
    33,207.66/49,812.82 = 11,023.02/x
  3. Step 3: Cross multiply
    33,207.66x = 49,812.82 × 11,023.02
  4. Step 4: Simplify right side
    33,207.66x = 549,087,711.12
  5. Step 5: Solve for x
    x = 549,087,711.12/33,207.66
  6. Step 6: Final answer
    x = 16,534.97

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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.