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Finding the Fourth Proportional to 53,778.58, 80,556.90 and 31,524.38

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Solution

The fourth proportional to 53,778.58, 80,556.90 and 31,524.38 is: 47,221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,778.58 : 80,556.90 = 31,524.38 : x
  2. Step 2: Convert to fraction form
    53,778.58/80,556.90 = 31,524.38/x
  3. Step 3: Cross multiply
    53,778.58x = 80,556.90 × 31,524.38
  4. Step 4: Simplify right side
    53,778.58x = 2,539,506,327.22
  5. Step 5: Solve for x
    x = 2,539,506,327.22/53,778.58
  6. Step 6: Final answer
    x = 47,221.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.