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Finding the Fourth Proportional to 35,832.70, 53,734.47 and 16,105.96

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Solution

The fourth proportional to 35,832.70, 53,734.47 and 16,105.96 is: 24,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,832.70 : 53,734.47 = 16,105.96 : x
  2. Step 2: Convert to fraction form
    35,832.70/53,734.47 = 16,105.96/x
  3. Step 3: Cross multiply
    35,832.70x = 53,734.47 × 16,105.96
  4. Step 4: Simplify right side
    35,832.70x = 865,445,224.44
  5. Step 5: Solve for x
    x = 865,445,224.44/35,832.70
  6. Step 6: Final answer
    x = 24,152.39

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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.