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Finding the Fourth Proportional to 30,169.74, 45,257.27 and 11,194.59

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Solution

The fourth proportional to 30,169.74, 45,257.27 and 11,194.59 is: 16,792.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,169.74 : 45,257.27 = 11,194.59 : x
  2. Step 2: Convert to fraction form
    30,169.74/45,257.27 = 11,194.59/x
  3. Step 3: Cross multiply
    30,169.74x = 45,257.27 × 11,194.59
  4. Step 4: Simplify right side
    30,169.74x = 506,636,526.20
  5. Step 5: Solve for x
    x = 506,636,526.20/30,169.74
  6. Step 6: Final answer
    x = 16,792.87

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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.