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Finding the Fourth Proportional to 30,732.67, 42,321.85 and 26,697.66

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Solution

The fourth proportional to 30,732.67, 42,321.85 and 26,697.66 is: 36,765.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,732.67 : 42,321.85 = 26,697.66 : x
  2. Step 2: Convert to fraction form
    30,732.67/42,321.85 = 26,697.66/x
  3. Step 3: Cross multiply
    30,732.67x = 42,321.85 × 26,697.66
  4. Step 4: Simplify right side
    30,732.67x = 1,129,894,361.87
  5. Step 5: Solve for x
    x = 1,129,894,361.87/30,732.67
  6. Step 6: Final answer
    x = 36,765.25

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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.