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Finding the Fourth Proportional to 35,611.38, 49,139.44 and 19,693.66

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Solution

The fourth proportional to 35,611.38, 49,139.44 and 19,693.66 is: 27,174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,611.38 : 49,139.44 = 19,693.66 : x
  2. Step 2: Convert to fraction form
    35,611.38/49,139.44 = 19,693.66/x
  3. Step 3: Cross multiply
    35,611.38x = 49,139.44 × 19,693.66
  4. Step 4: Simplify right side
    35,611.38x = 967,735,423.95
  5. Step 5: Solve for x
    x = 967,735,423.95/35,611.38
  6. Step 6: Final answer
    x = 27,174.89

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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.