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Finding the Fourth Proportional to 35,196.81, 52,794.77 and 8,543.02

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Solution

The fourth proportional to 35,196.81, 52,794.77 and 8,543.02 is: 12,814.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,196.81 : 52,794.77 = 8,543.02 : x
  2. Step 2: Convert to fraction form
    35,196.81/52,794.77 = 8,543.02/x
  3. Step 3: Cross multiply
    35,196.81x = 52,794.77 × 8,543.02
  4. Step 4: Simplify right side
    35,196.81x = 451,027,007.12
  5. Step 5: Solve for x
    x = 451,027,007.12/35,196.81
  6. Step 6: Final answer
    x = 12,814.43

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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.