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Finding the Fourth Proportional to 77,078.44, 115,617.06 and 39,649

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Solution

The fourth proportional to 77,078.44, 115,617.06 and 39,649 is: 59,473.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,078.44 : 115,617.06 = 39,649 : x
  2. Step 2: Convert to fraction form
    77,078.44/115,617.06 = 39,649/x
  3. Step 3: Cross multiply
    77,078.44x = 115,617.06 × 39,649
  4. Step 4: Simplify right side
    77,078.44x = 4,584,100,811.94
  5. Step 5: Solve for x
    x = 4,584,100,811.94/77,078.44
  6. Step 6: Final answer
    x = 59,473.19

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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.