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Finding the Fourth Proportional to 35,770.28, 49,362.14 and 19,854.38

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Solution

The fourth proportional to 35,770.28, 49,362.14 and 19,854.38 is: 27,398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,770.28 : 49,362.14 = 19,854.38 : x
  2. Step 2: Convert to fraction form
    35,770.28/49,362.14 = 19,854.38/x
  3. Step 3: Cross multiply
    35,770.28x = 49,362.14 × 19,854.38
  4. Step 4: Simplify right side
    35,770.28x = 980,054,858.21
  5. Step 5: Solve for x
    x = 980,054,858.21/35,770.28
  6. Step 6: Final answer
    x = 27,398.58

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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.