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Finding the Fourth Proportional to 31,788.52, 47,682.43 and 7,773.03

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Solution

The fourth proportional to 31,788.52, 47,682.43 and 7,773.03 is: 11,659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,788.52 : 47,682.43 = 7,773.03 : x
  2. Step 2: Convert to fraction form
    31,788.52/47,682.43 = 7,773.03/x
  3. Step 3: Cross multiply
    31,788.52x = 47,682.43 × 7,773.03
  4. Step 4: Simplify right side
    31,788.52x = 370,636,939.43
  5. Step 5: Solve for x
    x = 370,636,939.43/31,788.52
  6. Step 6: Final answer
    x = 11,659.46

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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.