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Finding the Fourth Proportional to 31,076.70, 46,616.63 and 8,893.37

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Solution

The fourth proportional to 31,076.70, 46,616.63 and 8,893.37 is: 13,340.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,076.70 : 46,616.63 = 8,893.37 : x
  2. Step 2: Convert to fraction form
    31,076.70/46,616.63 = 8,893.37/x
  3. Step 3: Cross multiply
    31,076.70x = 46,616.63 × 8,893.37
  4. Step 4: Simplify right side
    31,076.70x = 414,578,938.74
  5. Step 5: Solve for x
    x = 414,578,938.74/31,076.70
  6. Step 6: Final answer
    x = 13,340.51

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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.