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Finding the Fourth Proportional to 52,251, 78,379.47 and 16,715.44

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Solution

The fourth proportional to 52,251, 78,379.47 and 16,715.44 is: 25,074.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,251 : 78,379.47 = 16,715.44 : x
  2. Step 2: Convert to fraction form
    52,251/78,379.47 = 16,715.44/x
  3. Step 3: Cross multiply
    52,251x = 78,379.47 × 16,715.44
  4. Step 4: Simplify right side
    52,251x = 1,310,147,328.02
  5. Step 5: Solve for x
    x = 1,310,147,328.02/52,251
  6. Step 6: Final answer
    x = 25,074.11

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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.