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Finding the Fourth Proportional to 53,633.78, 80,424.50 and 16,186.87

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Solution

The fourth proportional to 53,633.78, 80,424.50 and 16,186.87 is: 24,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,633.78 : 80,424.50 = 16,186.87 : x
  2. Step 2: Convert to fraction form
    53,633.78/80,424.50 = 16,186.87/x
  3. Step 3: Cross multiply
    53,633.78x = 80,424.50 × 16,186.87
  4. Step 4: Simplify right side
    53,633.78x = 1,301,820,945.91
  5. Step 5: Solve for x
    x = 1,301,820,945.91/53,633.78
  6. Step 6: Final answer
    x = 24,272.41

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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.