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Finding the Fourth Proportional to 53,647.52, 80,449.56 and 16,196

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Solution

The fourth proportional to 53,647.52, 80,449.56 and 16,196 is: 24,287.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,647.52 : 80,449.56 = 16,196 : x
  2. Step 2: Convert to fraction form
    53,647.52/80,449.56 = 16,196/x
  3. Step 3: Cross multiply
    53,647.52x = 80,449.56 × 16,196
  4. Step 4: Simplify right side
    53,647.52x = 1,302,961,073.76
  5. Step 5: Solve for x
    x = 1,302,961,073.76/53,647.52
  6. Step 6: Final answer
    x = 24,287.44

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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.