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Finding the Fourth Proportional to 33,077.52, 45,647.50 and 17,970.48

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Solution

The fourth proportional to 33,077.52, 45,647.50 and 17,970.48 is: 24,799.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,077.52 : 45,647.50 = 17,970.48 : x
  2. Step 2: Convert to fraction form
    33,077.52/45,647.50 = 17,970.48/x
  3. Step 3: Cross multiply
    33,077.52x = 45,647.50 × 17,970.48
  4. Step 4: Simplify right side
    33,077.52x = 820,307,485.80
  5. Step 5: Solve for x
    x = 820,307,485.80/33,077.52
  6. Step 6: Final answer
    x = 24,799.55

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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.