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Finding the Fourth Proportional to 33,615.72, 50,411.82 and 9,916.98

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Solution

The fourth proportional to 33,615.72, 50,411.82 and 9,916.98 is: 14,872.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,615.72 : 50,411.82 = 9,916.98 : x
  2. Step 2: Convert to fraction form
    33,615.72/50,411.82 = 9,916.98/x
  3. Step 3: Cross multiply
    33,615.72x = 50,411.82 × 9,916.98
  4. Step 4: Simplify right side
    33,615.72x = 499,933,010.70
  5. Step 5: Solve for x
    x = 499,933,010.70/33,615.72
  6. Step 6: Final answer
    x = 14,872.00

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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.