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Finding the Fourth Proportional to 33,102.63, 45,680.28 and 17,994.93

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Solution

The fourth proportional to 33,102.63, 45,680.28 and 17,994.93 is: 24,832.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102.63 : 45,680.28 = 17,994.93 : x
  2. Step 2: Convert to fraction form
    33,102.63/45,680.28 = 17,994.93/x
  3. Step 3: Cross multiply
    33,102.63x = 45,680.28 × 17,994.93
  4. Step 4: Simplify right side
    33,102.63x = 822,013,440.98
  5. Step 5: Solve for x
    x = 822,013,440.98/33,102.63
  6. Step 6: Final answer
    x = 24,832.27

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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.