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Finding the Fourth Proportional to 77,846.40, 116,771.36 and 25,256

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Solution

The fourth proportional to 77,846.40, 116,771.36 and 25,256 is: 37,884.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,846.40 : 116,771.36 = 25,256 : x
  2. Step 2: Convert to fraction form
    77,846.40/116,771.36 = 25,256/x
  3. Step 3: Cross multiply
    77,846.40x = 116,771.36 × 25,256
  4. Step 4: Simplify right side
    77,846.40x = 2,949,177,468.16
  5. Step 5: Solve for x
    x = 2,949,177,468.16/77,846.40
  6. Step 6: Final answer
    x = 37,884.57

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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.