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Finding the Fourth Proportional to 33,077.70, 45,647.28 and 17,970.42

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Solution

The fourth proportional to 33,077.70, 45,647.28 and 17,970.42 is: 24,799.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,077.70 : 45,647.28 = 17,970.42 : x
  2. Step 2: Convert to fraction form
    33,077.70/45,647.28 = 17,970.42/x
  3. Step 3: Cross multiply
    33,077.70x = 45,647.28 × 17,970.42
  4. Step 4: Simplify right side
    33,077.70x = 820,300,793.46
  5. Step 5: Solve for x
    x = 820,300,793.46/33,077.70
  6. Step 6: Final answer
    x = 24,799.21

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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.