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Finding the Fourth Proportional to 33,121, 45,707.10 and 18,013.66

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Solution

The fourth proportional to 33,121, 45,707.10 and 18,013.66 is: 24,858.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,121 : 45,707.10 = 18,013.66 : x
  2. Step 2: Convert to fraction form
    33,121/45,707.10 = 18,013.66/x
  3. Step 3: Cross multiply
    33,121x = 45,707.10 × 18,013.66
  4. Step 4: Simplify right side
    33,121x = 823,352,158.99
  5. Step 5: Solve for x
    x = 823,352,158.99/33,121
  6. Step 6: Final answer
    x = 24,858.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.