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Finding the Fourth Proportional to 33,141.86, 49,714.32 and 9,451.01

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Solution

The fourth proportional to 33,141.86, 49,714.32 and 9,451.01 is: 14,176.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,141.86 : 49,714.32 = 9,451.01 : x
  2. Step 2: Convert to fraction form
    33,141.86/49,714.32 = 9,451.01/x
  3. Step 3: Cross multiply
    33,141.86x = 49,714.32 × 9,451.01
  4. Step 4: Simplify right side
    33,141.86x = 469,850,535.46
  5. Step 5: Solve for x
    x = 469,850,535.46/33,141.86
  6. Step 6: Final answer
    x = 14,176.95

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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.