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Finding the Fourth Proportional to 30,421.32, 45,631.82 and 8,234.62

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Solution

The fourth proportional to 30,421.32, 45,631.82 and 8,234.62 is: 12,351.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,421.32 : 45,631.82 = 8,234.62 : x
  2. Step 2: Convert to fraction form
    30,421.32/45,631.82 = 8,234.62/x
  3. Step 3: Cross multiply
    30,421.32x = 45,631.82 × 8,234.62
  4. Step 4: Simplify right side
    30,421.32x = 375,760,697.61
  5. Step 5: Solve for x
    x = 375,760,697.61/30,421.32
  6. Step 6: Final answer
    x = 12,351.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.