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Finding the Fourth Proportional to 35,705.38, 49,270.62 and 19,789.42

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Solution

The fourth proportional to 35,705.38, 49,270.62 and 19,789.42 is: 27,307.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,705.38 : 49,270.62 = 19,789.42 : x
  2. Step 2: Convert to fraction form
    35,705.38/49,270.62 = 19,789.42/x
  3. Step 3: Cross multiply
    35,705.38x = 49,270.62 × 19,789.42
  4. Step 4: Simplify right side
    35,705.38x = 975,036,992.84
  5. Step 5: Solve for x
    x = 975,036,992.84/35,705.38
  6. Step 6: Final answer
    x = 27,307.85

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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.