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Finding the Fourth Proportional to 33,077.72, 45,647.64 and 17,970.56

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Solution

The fourth proportional to 33,077.72, 45,647.64 and 17,970.56 is: 24,799.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,077.72 : 45,647.64 = 17,970.56 : x
  2. Step 2: Convert to fraction form
    33,077.72/45,647.64 = 17,970.56/x
  3. Step 3: Cross multiply
    33,077.72x = 45,647.64 × 17,970.56
  4. Step 4: Simplify right side
    33,077.72x = 820,313,653.48
  5. Step 5: Solve for x
    x = 820,313,653.48/33,077.72
  6. Step 6: Final answer
    x = 24,799.58

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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.