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Finding the Fourth Proportional to 57,818.74, 79,814.46 and 35,165

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Solution

The fourth proportional to 57,818.74, 79,814.46 and 35,165 is: 48,542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,818.74 : 79,814.46 = 35,165 : x
  2. Step 2: Convert to fraction form
    57,818.74/79,814.46 = 35,165/x
  3. Step 3: Cross multiply
    57,818.74x = 79,814.46 × 35,165
  4. Step 4: Simplify right side
    57,818.74x = 2,806,675,485.90
  5. Step 5: Solve for x
    x = 2,806,675,485.90/57,818.74
  6. Step 6: Final answer
    x = 48,542.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.