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Finding the Fourth Proportional to 77,202.60, 115,658.10 and 39,634.80

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Solution

The fourth proportional to 77,202.60, 115,658.10 and 39,634.80 is: 59,377.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,202.60 : 115,658.10 = 39,634.80 : x
  2. Step 2: Convert to fraction form
    77,202.60/115,658.10 = 39,634.80/x
  3. Step 3: Cross multiply
    77,202.60x = 115,658.10 × 39,634.80
  4. Step 4: Simplify right side
    77,202.60x = 4,584,085,661.88
  5. Step 5: Solve for x
    x = 4,584,085,661.88/77,202.60
  6. Step 6: Final answer
    x = 59,377.35

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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.