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Finding the Fourth Proportional to 77,094.80, 115,469.40 and 40,115.60

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Solution

The fourth proportional to 77,094.80, 115,469.40 and 40,115.60 is: 60,083.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,094.80 : 115,469.40 = 40,115.60 : x
  2. Step 2: Convert to fraction form
    77,094.80/115,469.40 = 40,115.60/x
  3. Step 3: Cross multiply
    77,094.80x = 115,469.40 × 40,115.60
  4. Step 4: Simplify right side
    77,094.80x = 4,632,124,262.64
  5. Step 5: Solve for x
    x = 4,632,124,262.64/77,094.80
  6. Step 6: Final answer
    x = 60,083.49

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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.