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Finding the Fourth Proportional to 30,217.80, 45,319.85 and 11,491.16

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Solution

The fourth proportional to 30,217.80, 45,319.85 and 11,491.16 is: 17,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,217.80 : 45,319.85 = 11,491.16 : x
  2. Step 2: Convert to fraction form
    30,217.80/45,319.85 = 11,491.16/x
  3. Step 3: Cross multiply
    30,217.80x = 45,319.85 × 11,491.16
  4. Step 4: Simplify right side
    30,217.80x = 520,777,363.47
  5. Step 5: Solve for x
    x = 520,777,363.47/30,217.80
  6. Step 6: Final answer
    x = 17,234.13

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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.