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Finding the Fourth Proportional to 76,778.49, 115,184.14 and 26,860.22

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Solution

The fourth proportional to 76,778.49, 115,184.14 and 26,860.22 is: 40,296.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,778.49 : 115,184.14 = 26,860.22 : x
  2. Step 2: Convert to fraction form
    76,778.49/115,184.14 = 26,860.22/x
  3. Step 3: Cross multiply
    76,778.49x = 115,184.14 × 26,860.22
  4. Step 4: Simplify right side
    76,778.49x = 3,093,871,043.35
  5. Step 5: Solve for x
    x = 3,093,871,043.35/76,778.49
  6. Step 6: Final answer
    x = 40,296.06

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