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Finding the Fourth Proportional to 43,791.91, 65,447.91 and 31,970.58

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Solution

The fourth proportional to 43,791.91, 65,447.91 and 31,970.58 is: 47,780.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,791.91 : 65,447.91 = 31,970.58 : x
  2. Step 2: Convert to fraction form
    43,791.91/65,447.91 = 31,970.58/x
  3. Step 3: Cross multiply
    43,791.91x = 65,447.91 × 31,970.58
  4. Step 4: Simplify right side
    43,791.91x = 2,092,407,642.49
  5. Step 5: Solve for x
    x = 2,092,407,642.49/43,791.91
  6. Step 6: Final answer
    x = 47,780.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.