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Finding the Fourth Proportional to 77,571.64, 116,392.02 and 40,627

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Solution

The fourth proportional to 77,571.64, 116,392.02 and 40,627 is: 60,958.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,571.64 : 116,392.02 = 40,627 : x
  2. Step 2: Convert to fraction form
    77,571.64/116,392.02 = 40,627/x
  3. Step 3: Cross multiply
    77,571.64x = 116,392.02 × 40,627
  4. Step 4: Simplify right side
    77,571.64x = 4,728,658,596.54
  5. Step 5: Solve for x
    x = 4,728,658,596.54/77,571.64
  6. Step 6: Final answer
    x = 60,958.60

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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.