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Finding the Fourth Proportional to 34,805.20, 52,207.80 and 10,181.20

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Solution

The fourth proportional to 34,805.20, 52,207.80 and 10,181.20 is: 15,271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,805.20 : 52,207.80 = 10,181.20 : x
  2. Step 2: Convert to fraction form
    34,805.20/52,207.80 = 10,181.20/x
  3. Step 3: Cross multiply
    34,805.20x = 52,207.80 × 10,181.20
  4. Step 4: Simplify right side
    34,805.20x = 531,538,053.36
  5. Step 5: Solve for x
    x = 531,538,053.36/34,805.20
  6. Step 6: Final answer
    x = 15,271.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.