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Finding the Fourth Proportional to 32,961.17, 45,486.52 and 17,853.78

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Solution

The fourth proportional to 32,961.17, 45,486.52 and 17,853.78 is: 24,638.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,961.17 : 45,486.52 = 17,853.78 : x
  2. Step 2: Convert to fraction form
    32,961.17/45,486.52 = 17,853.78/x
  3. Step 3: Cross multiply
    32,961.17x = 45,486.52 × 17,853.78
  4. Step 4: Simplify right side
    32,961.17x = 812,106,380.62
  5. Step 5: Solve for x
    x = 812,106,380.62/32,961.17
  6. Step 6: Final answer
    x = 24,638.28

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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.