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Finding the Fourth Proportional to 30,282.87, 45,421.12 and 8,098.49

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Solution

The fourth proportional to 30,282.87, 45,421.12 and 8,098.49 is: 12,146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,282.87 : 45,421.12 = 8,098.49 : x
  2. Step 2: Convert to fraction form
    30,282.87/45,421.12 = 8,098.49/x
  3. Step 3: Cross multiply
    30,282.87x = 45,421.12 × 8,098.49
  4. Step 4: Simplify right side
    30,282.87x = 367,842,609.78
  5. Step 5: Solve for x
    x = 367,842,609.78/30,282.87
  6. Step 6: Final answer
    x = 12,146.89

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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.