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Finding the Fourth Proportional to 33,643.17, 50,461.20 and 14,923.53

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Solution

The fourth proportional to 33,643.17, 50,461.20 and 14,923.53 is: 22,383.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,643.17 : 50,461.20 = 14,923.53 : x
  2. Step 2: Convert to fraction form
    33,643.17/50,461.20 = 14,923.53/x
  3. Step 3: Cross multiply
    33,643.17x = 50,461.20 × 14,923.53
  4. Step 4: Simplify right side
    33,643.17x = 753,059,232.04
  5. Step 5: Solve for x
    x = 753,059,232.04/33,643.17
  6. Step 6: Final answer
    x = 22,383.72

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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.