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Finding the Fourth Proportional to 33,078.31, 45,647.69 and 17,970.66

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Solution

The fourth proportional to 33,078.31, 45,647.69 and 17,970.66 is: 24,799.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,078.31 : 45,647.69 = 17,970.66 : x
  2. Step 2: Convert to fraction form
    33,078.31/45,647.69 = 17,970.66/x
  3. Step 3: Cross multiply
    33,078.31x = 45,647.69 × 17,970.66
  4. Step 4: Simplify right side
    33,078.31x = 820,319,026.92
  5. Step 5: Solve for x
    x = 820,319,026.92/33,078.31
  6. Step 6: Final answer
    x = 24,799.30

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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.