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Finding the Fourth Proportional to 77,568, 116,352 and 24,982.80

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Solution

The fourth proportional to 77,568, 116,352 and 24,982.80 is: 37,474.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,568 : 116,352 = 24,982.80 : x
  2. Step 2: Convert to fraction form
    77,568/116,352 = 24,982.80/x
  3. Step 3: Cross multiply
    77,568x = 116,352 × 24,982.80
  4. Step 4: Simplify right side
    77,568x = 2,906,798,745.60
  5. Step 5: Solve for x
    x = 2,906,798,745.60/77,568
  6. Step 6: Final answer
    x = 37,474.20

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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.