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Finding the Fourth Proportional to 35,744.70, 49,327.75 and 19,829.15

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Solution

The fourth proportional to 35,744.70, 49,327.75 and 19,829.15 is: 27,364.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,744.70 : 49,327.75 = 19,829.15 : x
  2. Step 2: Convert to fraction form
    35,744.70/49,327.75 = 19,829.15/x
  3. Step 3: Cross multiply
    35,744.70x = 49,327.75 × 19,829.15
  4. Step 4: Simplify right side
    35,744.70x = 978,127,427.66
  5. Step 5: Solve for x
    x = 978,127,427.66/35,744.70
  6. Step 6: Final answer
    x = 27,364.26

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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.