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Finding the Fourth Proportional to 77,717.31, 116,576.01 and 31,002.99

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Solution

The fourth proportional to 77,717.31, 116,576.01 and 31,002.99 is: 46,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,717.31 : 116,576.01 = 31,002.99 : x
  2. Step 2: Convert to fraction form
    77,717.31/116,576.01 = 31,002.99/x
  3. Step 3: Cross multiply
    77,717.31x = 116,576.01 × 31,002.99
  4. Step 4: Simplify right side
    77,717.31x = 3,614,204,872.27
  5. Step 5: Solve for x
    x = 3,614,204,872.27/77,717.31
  6. Step 6: Final answer
    x = 46,504.50

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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.