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Finding the Fourth Proportional to 33,985.20, 50,963.40 and 16,460.40

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Solution

The fourth proportional to 33,985.20, 50,963.40 and 16,460.40 is: 24,683.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,985.20 : 50,963.40 = 16,460.40 : x
  2. Step 2: Convert to fraction form
    33,985.20/50,963.40 = 16,460.40/x
  3. Step 3: Cross multiply
    33,985.20x = 50,963.40 × 16,460.40
  4. Step 4: Simplify right side
    33,985.20x = 838,877,949.36
  5. Step 5: Solve for x
    x = 838,877,949.36/33,985.20
  6. Step 6: Final answer
    x = 24,683.63

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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.