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Finding the Fourth Proportional to 33,657.17, 50,490.12 and 11,464.61

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Solution

The fourth proportional to 33,657.17, 50,490.12 and 11,464.61 is: 17,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,657.17 : 50,490.12 = 11,464.61 : x
  2. Step 2: Convert to fraction form
    33,657.17/50,490.12 = 11,464.61/x
  3. Step 3: Cross multiply
    33,657.17x = 50,490.12 × 11,464.61
  4. Step 4: Simplify right side
    33,657.17x = 578,849,534.65
  5. Step 5: Solve for x
    x = 578,849,534.65/33,657.17
  6. Step 6: Final answer
    x = 17,198.40

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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.