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Finding the Fourth Proportional to 31,788.36, 47,682.32 and 7,772.36

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Solution

The fourth proportional to 31,788.36, 47,682.32 and 7,772.36 is: 11,658.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,788.36 : 47,682.32 = 7,772.36 : x
  2. Step 2: Convert to fraction form
    31,788.36/47,682.32 = 7,772.36/x
  3. Step 3: Cross multiply
    31,788.36x = 47,682.32 × 7,772.36
  4. Step 4: Simplify right side
    31,788.36x = 370,604,156.68
  5. Step 5: Solve for x
    x = 370,604,156.68/31,788.36
  6. Step 6: Final answer
    x = 11,658.49

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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.