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Finding the Fourth Proportional to 30,997.27, 42,793.82 and 23,715.68

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Solution

The fourth proportional to 30,997.27, 42,793.82 and 23,715.68 is: 32,741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997.27 : 42,793.82 = 23,715.68 : x
  2. Step 2: Convert to fraction form
    30,997.27/42,793.82 = 23,715.68/x
  3. Step 3: Cross multiply
    30,997.27x = 42,793.82 × 23,715.68
  4. Step 4: Simplify right side
    30,997.27x = 1,014,884,208.55
  5. Step 5: Solve for x
    x = 1,014,884,208.55/30,997.27
  6. Step 6: Final answer
    x = 32,741.08

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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.