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Finding the Fourth Proportional to 33,085.36, 45,657.36 and 17,977.87

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Solution

The fourth proportional to 33,085.36, 45,657.36 and 17,977.87 is: 24,809.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,085.36 : 45,657.36 = 17,977.87 : x
  2. Step 2: Convert to fraction form
    33,085.36/45,657.36 = 17,977.87/x
  3. Step 3: Cross multiply
    33,085.36x = 45,657.36 × 17,977.87
  4. Step 4: Simplify right side
    33,085.36x = 820,822,082.62
  5. Step 5: Solve for x
    x = 820,822,082.62/33,085.36
  6. Step 6: Final answer
    x = 24,809.22

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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.