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Finding the Fourth Proportional to 53,830.44, 80,736.06 and 16,381.44

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Solution

The fourth proportional to 53,830.44, 80,736.06 and 16,381.44 is: 24,569.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,830.44 : 80,736.06 = 16,381.44 : x
  2. Step 2: Convert to fraction form
    53,830.44/80,736.06 = 16,381.44/x
  3. Step 3: Cross multiply
    53,830.44x = 80,736.06 × 16,381.44
  4. Step 4: Simplify right side
    53,830.44x = 1,322,572,922.73
  5. Step 5: Solve for x
    x = 1,322,572,922.73/53,830.44
  6. Step 6: Final answer
    x = 24,569.24

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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.