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Finding the Fourth Proportional to 33,122.50, 45,709.29 and 18,218.50

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Solution

The fourth proportional to 33,122.50, 45,709.29 and 18,218.50 is: 25,141.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,122.50 : 45,709.29 = 18,218.50 : x
  2. Step 2: Convert to fraction form
    33,122.50/45,709.29 = 18,218.50/x
  3. Step 3: Cross multiply
    33,122.50x = 45,709.29 × 18,218.50
  4. Step 4: Simplify right side
    33,122.50x = 832,754,699.87
  5. Step 5: Solve for x
    x = 832,754,699.87/33,122.50
  6. Step 6: Final answer
    x = 25,141.66

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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.