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Finding the Fourth Proportional to 52,509.70, 78,776.30 and 19,229.10

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Solution

The fourth proportional to 52,509.70, 78,776.30 and 19,229.10 is: 28,847.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,509.70 : 78,776.30 = 19,229.10 : x
  2. Step 2: Convert to fraction form
    52,509.70/78,776.30 = 19,229.10/x
  3. Step 3: Cross multiply
    52,509.70x = 78,776.30 × 19,229.10
  4. Step 4: Simplify right side
    52,509.70x = 1,514,797,350.33
  5. Step 5: Solve for x
    x = 1,514,797,350.33/52,509.70
  6. Step 6: Final answer
    x = 28,847.95

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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.