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Finding the Fourth Proportional to 35,770.38, 49,363.29 and 19,854.96

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Solution

The fourth proportional to 35,770.38, 49,363.29 and 19,854.96 is: 27,399.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,770.38 : 49,363.29 = 19,854.96 : x
  2. Step 2: Convert to fraction form
    35,770.38/49,363.29 = 19,854.96/x
  3. Step 3: Cross multiply
    35,770.38x = 49,363.29 × 19,854.96
  4. Step 4: Simplify right side
    35,770.38x = 980,106,148.42
  5. Step 5: Solve for x
    x = 980,106,148.42/35,770.38
  6. Step 6: Final answer
    x = 27,399.94

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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.