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Finding the Fourth Proportional to 35,713.38, 49,274.22 and 20,604.84

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Solution

The fourth proportional to 35,713.38, 49,274.22 and 20,604.84 is: 28,428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,713.38 : 49,274.22 = 20,604.84 : x
  2. Step 2: Convert to fraction form
    35,713.38/49,274.22 = 20,604.84/x
  3. Step 3: Cross multiply
    35,713.38x = 49,274.22 × 20,604.84
  4. Step 4: Simplify right side
    35,713.38x = 1,015,287,419.22
  5. Step 5: Solve for x
    x = 1,015,287,419.22/35,713.38
  6. Step 6: Final answer
    x = 28,428.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.