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Finding the Fourth Proportional to 34,804, 52,207.92 and 10,181.92

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Solution

The fourth proportional to 34,804, 52,207.92 and 10,181.92 is: 15,273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,804 : 52,207.92 = 10,181.92 : x
  2. Step 2: Convert to fraction form
    34,804/52,207.92 = 10,181.92/x
  3. Step 3: Cross multiply
    34,804x = 52,207.92 × 10,181.92
  4. Step 4: Simplify right side
    34,804x = 531,576,864.81
  5. Step 5: Solve for x
    x = 531,576,864.81/34,804
  6. Step 6: Final answer
    x = 15,273.44

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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.