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Finding the Fourth Proportional to 52,383.68, 78,578.11 and 14,949.27

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Solution

The fourth proportional to 52,383.68, 78,578.11 and 14,949.27 is: 22,424.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,383.68 : 78,578.11 = 14,949.27 : x
  2. Step 2: Convert to fraction form
    52,383.68/78,578.11 = 14,949.27/x
  3. Step 3: Cross multiply
    52,383.68x = 78,578.11 × 14,949.27
  4. Step 4: Simplify right side
    52,383.68x = 1,174,685,382.48
  5. Step 5: Solve for x
    x = 1,174,685,382.48/52,383.68
  6. Step 6: Final answer
    x = 22,424.64

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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.