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Finding the Fourth Proportional to 33,082.49, 45,657.17 and 19,656.74

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Solution

The fourth proportional to 33,082.49, 45,657.17 and 19,656.74 is: 27,128.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,082.49 : 45,657.17 = 19,656.74 : x
  2. Step 2: Convert to fraction form
    33,082.49/45,657.17 = 19,656.74/x
  3. Step 3: Cross multiply
    33,082.49x = 45,657.17 × 19,656.74
  4. Step 4: Simplify right side
    33,082.49x = 897,471,209.40
  5. Step 5: Solve for x
    x = 897,471,209.40/33,082.49
  6. Step 6: Final answer
    x = 27,128.28

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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.