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Finding the Fourth Proportional to 51,879.92, 77,827.08 and 16,808.24

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Solution

The fourth proportional to 51,879.92, 77,827.08 and 16,808.24 is: 25,214.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,879.92 : 77,827.08 = 16,808.24 : x
  2. Step 2: Convert to fraction form
    51,879.92/77,827.08 = 16,808.24/x
  3. Step 3: Cross multiply
    51,879.92x = 77,827.08 × 16,808.24
  4. Step 4: Simplify right side
    51,879.92x = 1,308,136,239.14
  5. Step 5: Solve for x
    x = 1,308,136,239.14/51,879.92
  6. Step 6: Final answer
    x = 25,214.69

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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.