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Finding the Fourth Proportional to 33,916.63, 50,875.03 and 10,543.09

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Solution

The fourth proportional to 33,916.63, 50,875.03 and 10,543.09 is: 15,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,916.63 : 50,875.03 = 10,543.09 : x
  2. Step 2: Convert to fraction form
    33,916.63/50,875.03 = 10,543.09/x
  3. Step 3: Cross multiply
    33,916.63x = 50,875.03 × 10,543.09
  4. Step 4: Simplify right side
    33,916.63x = 536,379,739.31
  5. Step 5: Solve for x
    x = 536,379,739.31/33,916.63
  6. Step 6: Final answer
    x = 15,814.66

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Why These Related Problems?

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