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Finding the Fourth Proportional to 35,935.38, 49,592.34 and 20,019.82

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Solution

The fourth proportional to 35,935.38, 49,592.34 and 20,019.82 is: 27,628.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,935.38 : 49,592.34 = 20,019.82 : x
  2. Step 2: Convert to fraction form
    35,935.38/49,592.34 = 20,019.82/x
  3. Step 3: Cross multiply
    35,935.38x = 49,592.34 × 20,019.82
  4. Step 4: Simplify right side
    35,935.38x = 992,829,720.18
  5. Step 5: Solve for x
    x = 992,829,720.18/35,935.38
  6. Step 6: Final answer
    x = 27,628.20

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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.