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Finding the Fourth Proportional to 77,794.60, 116,706.30 and 25,205.80

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Solution

The fourth proportional to 77,794.60, 116,706.30 and 25,205.80 is: 37,813.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,794.60 : 116,706.30 = 25,205.80 : x
  2. Step 2: Convert to fraction form
    77,794.60/116,706.30 = 25,205.80/x
  3. Step 3: Cross multiply
    77,794.60x = 116,706.30 × 25,205.80
  4. Step 4: Simplify right side
    77,794.60x = 2,941,675,656.54
  5. Step 5: Solve for x
    x = 2,941,675,656.54/77,794.60
  6. Step 6: Final answer
    x = 37,813.37

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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.