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Finding the Fourth Proportional to 33,531.60, 50,272 and 16,671.50

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Solution

The fourth proportional to 33,531.60, 50,272 and 16,671.50 is: 24,994.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,531.60 : 50,272 = 16,671.50 : x
  2. Step 2: Convert to fraction form
    33,531.60/50,272 = 16,671.50/x
  3. Step 3: Cross multiply
    33,531.60x = 50,272 × 16,671.50
  4. Step 4: Simplify right side
    33,531.60x = 838,109,648
  5. Step 5: Solve for x
    x = 838,109,648/33,531.60
  6. Step 6: Final answer
    x = 24,994.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.