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Finding the Fourth Proportional to 35,701.74, 49,271.31 and 19,791.31

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Solution

The fourth proportional to 35,701.74, 49,271.31 and 19,791.31 is: 27,313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,701.74 : 49,271.31 = 19,791.31 : x
  2. Step 2: Convert to fraction form
    35,701.74/49,271.31 = 19,791.31/x
  3. Step 3: Cross multiply
    35,701.74x = 49,271.31 × 19,791.31
  4. Step 4: Simplify right side
    35,701.74x = 975,143,770.32
  5. Step 5: Solve for x
    x = 975,143,770.32/35,701.74
  6. Step 6: Final answer
    x = 27,313.62

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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.