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Finding the Fourth Proportional to 34,876.92, 52,299 and 12,674.64

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Solution

The fourth proportional to 34,876.92, 52,299 and 12,674.64 is: 19,006.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,876.92 : 52,299 = 12,674.64 : x
  2. Step 2: Convert to fraction form
    34,876.92/52,299 = 12,674.64/x
  3. Step 3: Cross multiply
    34,876.92x = 52,299 × 12,674.64
  4. Step 4: Simplify right side
    34,876.92x = 662,870,997.36
  5. Step 5: Solve for x
    x = 662,870,997.36/34,876.92
  6. Step 6: Final answer
    x = 19,006.01

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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.