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Finding the Fourth Proportional to 33,141.86, 49,714.32 and 9,451.02

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Solution

The fourth proportional to 33,141.86, 49,714.32 and 9,451.02 is: 14,176.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,141.86 : 49,714.32 = 9,451.02 : x
  2. Step 2: Convert to fraction form
    33,141.86/49,714.32 = 9,451.02/x
  3. Step 3: Cross multiply
    33,141.86x = 49,714.32 × 9,451.02
  4. Step 4: Simplify right side
    33,141.86x = 469,851,032.61
  5. Step 5: Solve for x
    x = 469,851,032.61/33,141.86
  6. Step 6: Final answer
    x = 14,176.97

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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.