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Finding the Fourth Proportional to 35,706.33, 49,273.38 and 19,791

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Solution

The fourth proportional to 35,706.33, 49,273.38 and 19,791 is: 27,310.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,706.33 : 49,273.38 = 19,791 : x
  2. Step 2: Convert to fraction form
    35,706.33/49,273.38 = 19,791/x
  3. Step 3: Cross multiply
    35,706.33x = 49,273.38 × 19,791
  4. Step 4: Simplify right side
    35,706.33x = 975,169,463.58
  5. Step 5: Solve for x
    x = 975,169,463.58/35,706.33
  6. Step 6: Final answer
    x = 27,310.83

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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.