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Finding the Fourth Proportional to 52,866.24, 79,273.12 and 16,838

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Solution

The fourth proportional to 52,866.24, 79,273.12 and 16,838 is: 25,248.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,866.24 : 79,273.12 = 16,838 : x
  2. Step 2: Convert to fraction form
    52,866.24/79,273.12 = 16,838/x
  3. Step 3: Cross multiply
    52,866.24x = 79,273.12 × 16,838
  4. Step 4: Simplify right side
    52,866.24x = 1,334,800,794.56
  5. Step 5: Solve for x
    x = 1,334,800,794.56/52,866.24
  6. Step 6: Final answer
    x = 25,248.64

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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.