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Finding the Fourth Proportional to 53,231.14, 79,838.07 and 16,286.50

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Solution

The fourth proportional to 53,231.14, 79,838.07 and 16,286.50 is: 24,427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,231.14 : 79,838.07 = 16,286.50 : x
  2. Step 2: Convert to fraction form
    53,231.14/79,838.07 = 16,286.50/x
  3. Step 3: Cross multiply
    53,231.14x = 79,838.07 × 16,286.50
  4. Step 4: Simplify right side
    53,231.14x = 1,300,282,727.06
  5. Step 5: Solve for x
    x = 1,300,282,727.06/53,231.14
  6. Step 6: Final answer
    x = 24,427.11

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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.