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Finding the Fourth Proportional to 39,843.60, 59,765.44 and 10,261.50

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Solution

The fourth proportional to 39,843.60, 59,765.44 and 10,261.50 is: 15,392.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,843.60 : 59,765.44 = 10,261.50 : x
  2. Step 2: Convert to fraction form
    39,843.60/59,765.44 = 10,261.50/x
  3. Step 3: Cross multiply
    39,843.60x = 59,765.44 × 10,261.50
  4. Step 4: Simplify right side
    39,843.60x = 613,283,062.56
  5. Step 5: Solve for x
    x = 613,283,062.56/39,843.60
  6. Step 6: Final answer
    x = 15,392.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.