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Finding the Fourth Proportional to 30,193.26, 45,275.45 and 11,204.86

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Solution

The fourth proportional to 30,193.26, 45,275.45 and 11,204.86 is: 16,801.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,193.26 : 45,275.45 = 11,204.86 : x
  2. Step 2: Convert to fraction form
    30,193.26/45,275.45 = 11,204.86/x
  3. Step 3: Cross multiply
    30,193.26x = 45,275.45 × 11,204.86
  4. Step 4: Simplify right side
    30,193.26x = 507,305,078.69
  5. Step 5: Solve for x
    x = 507,305,078.69/30,193.26
  6. Step 6: Final answer
    x = 16,801.93

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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.