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Finding the Fourth Proportional to 76,253.94, 114,366.87 and 31,868.78

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Solution

The fourth proportional to 76,253.94, 114,366.87 and 31,868.78 is: 47,797.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,253.94 : 114,366.87 = 31,868.78 : x
  2. Step 2: Convert to fraction form
    76,253.94/114,366.87 = 31,868.78/x
  3. Step 3: Cross multiply
    76,253.94x = 114,366.87 × 31,868.78
  4. Step 4: Simplify right side
    76,253.94x = 3,644,732,047.48
  5. Step 5: Solve for x
    x = 3,644,732,047.48/76,253.94
  6. Step 6: Final answer
    x = 47,797.29

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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.