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Finding the Fourth Proportional to 33,077.50, 45,647.43 and 17,970.43

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Solution

The fourth proportional to 33,077.50, 45,647.43 and 17,970.43 is: 24,799.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,077.50 : 45,647.43 = 17,970.43 : x
  2. Step 2: Convert to fraction form
    33,077.50/45,647.43 = 17,970.43/x
  3. Step 3: Cross multiply
    33,077.50x = 45,647.43 × 17,970.43
  4. Step 4: Simplify right side
    33,077.50x = 820,303,945.49
  5. Step 5: Solve for x
    x = 820,303,945.49/33,077.50
  6. Step 6: Final answer
    x = 24,799.45

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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.