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Finding the Fourth Proportional to 31,963.31, 47,944.94 and 9,776.67

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Solution

The fourth proportional to 31,963.31, 47,944.94 and 9,776.67 is: 14,665.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,963.31 : 47,944.94 = 9,776.67 : x
  2. Step 2: Convert to fraction form
    31,963.31/47,944.94 = 9,776.67/x
  3. Step 3: Cross multiply
    31,963.31x = 47,944.94 × 9,776.67
  4. Step 4: Simplify right side
    31,963.31x = 468,741,807.67
  5. Step 5: Solve for x
    x = 468,741,807.67/31,963.31
  6. Step 6: Final answer
    x = 14,665.00

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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.