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Finding the Fourth Proportional to 33,422.40, 50,132.16 and 13,695.84

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Solution

The fourth proportional to 33,422.40, 50,132.16 and 13,695.84 is: 20,543.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,422.40 : 50,132.16 = 13,695.84 : x
  2. Step 2: Convert to fraction form
    33,422.40/50,132.16 = 13,695.84/x
  3. Step 3: Cross multiply
    33,422.40x = 50,132.16 × 13,695.84
  4. Step 4: Simplify right side
    33,422.40x = 686,602,042.21
  5. Step 5: Solve for x
    x = 686,602,042.21/33,422.40
  6. Step 6: Final answer
    x = 20,543.17

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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.