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Finding the Fourth Proportional to 38,404.68, 57,814.48 and 34,542.49

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Solution

The fourth proportional to 38,404.68, 57,814.48 and 34,542.49 is: 52,000.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,404.68 : 57,814.48 = 34,542.49 : x
  2. Step 2: Convert to fraction form
    38,404.68/57,814.48 = 34,542.49/x
  3. Step 3: Cross multiply
    38,404.68x = 57,814.48 × 34,542.49
  4. Step 4: Simplify right side
    38,404.68x = 1,997,056,097.26
  5. Step 5: Solve for x
    x = 1,997,056,097.26/38,404.68
  6. Step 6: Final answer
    x = 52,000.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.