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Finding the Fourth Proportional to 33,078.64, 45,647.74 and 17,970.96

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Solution

The fourth proportional to 33,078.64, 45,647.74 and 17,970.96 is: 24,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,078.64 : 45,647.74 = 17,970.96 : x
  2. Step 2: Convert to fraction form
    33,078.64/45,647.74 = 17,970.96/x
  3. Step 3: Cross multiply
    33,078.64x = 45,647.74 × 17,970.96
  4. Step 4: Simplify right side
    33,078.64x = 820,333,709.63
  5. Step 5: Solve for x
    x = 820,333,709.63/33,078.64
  6. Step 6: Final answer
    x = 24,799.50

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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.