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Finding the Fourth Proportional to 33,114.47, 49,643.73 and 14,380.38

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Solution

The fourth proportional to 33,114.47, 49,643.73 and 14,380.38 is: 21,558.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,114.47 : 49,643.73 = 14,380.38 : x
  2. Step 2: Convert to fraction form
    33,114.47/49,643.73 = 14,380.38/x
  3. Step 3: Cross multiply
    33,114.47x = 49,643.73 × 14,380.38
  4. Step 4: Simplify right side
    33,114.47x = 713,895,702.02
  5. Step 5: Solve for x
    x = 713,895,702.02/33,114.47
  6. Step 6: Final answer
    x = 21,558.42

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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.