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Finding the Fourth Proportional to 53,817.51, 80,743.56 and 16,384.83

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Solution

The fourth proportional to 53,817.51, 80,743.56 and 16,384.83 is: 24,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,817.51 : 80,743.56 = 16,384.83 : x
  2. Step 2: Convert to fraction form
    53,817.51/80,743.56 = 16,384.83/x
  3. Step 3: Cross multiply
    53,817.51x = 80,743.56 × 16,384.83
  4. Step 4: Simplify right side
    53,817.51x = 1,322,969,100.48
  5. Step 5: Solve for x
    x = 1,322,969,100.48/53,817.51
  6. Step 6: Final answer
    x = 24,582.50

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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.