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Finding the Fourth Proportional to 30,575.68, 42,196 and 17,149.76

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Solution

The fourth proportional to 30,575.68, 42,196 and 17,149.76 is: 23,667.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,575.68 : 42,196 = 17,149.76 : x
  2. Step 2: Convert to fraction form
    30,575.68/42,196 = 17,149.76/x
  3. Step 3: Cross multiply
    30,575.68x = 42,196 × 17,149.76
  4. Step 4: Simplify right side
    30,575.68x = 723,651,272.96
  5. Step 5: Solve for x
    x = 723,651,272.96/30,575.68
  6. Step 6: Final answer
    x = 23,667.54

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