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Finding the Fourth Proportional to 53,785.50, 80,682.51 and 16,348.82

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Solution

The fourth proportional to 53,785.50, 80,682.51 and 16,348.82 is: 24,524.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,785.50 : 80,682.51 = 16,348.82 : x
  2. Step 2: Convert to fraction form
    53,785.50/80,682.51 = 16,348.82/x
  3. Step 3: Cross multiply
    53,785.50x = 80,682.51 × 16,348.82
  4. Step 4: Simplify right side
    53,785.50x = 1,319,063,833.14
  5. Step 5: Solve for x
    x = 1,319,063,833.14/53,785.50
  6. Step 6: Final answer
    x = 24,524.52

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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.