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Finding the Fourth Proportional to 45,643.50, 62,993.70 and 27,744.66

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Solution

The fourth proportional to 45,643.50, 62,993.70 and 27,744.66 is: 38,291.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,643.50 : 62,993.70 = 27,744.66 : x
  2. Step 2: Convert to fraction form
    45,643.50/62,993.70 = 27,744.66/x
  3. Step 3: Cross multiply
    45,643.50x = 62,993.70 × 27,744.66
  4. Step 4: Simplify right side
    45,643.50x = 1,747,738,788.64
  5. Step 5: Solve for x
    x = 1,747,738,788.64/45,643.50
  6. Step 6: Final answer
    x = 38,291.08

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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.