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Finding the Fourth Proportional to 34,145.80, 51,218.70 and 10,774.06

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Solution

The fourth proportional to 34,145.80, 51,218.70 and 10,774.06 is: 16,161.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,145.80 : 51,218.70 = 10,774.06 : x
  2. Step 2: Convert to fraction form
    34,145.80/51,218.70 = 10,774.06/x
  3. Step 3: Cross multiply
    34,145.80x = 51,218.70 × 10,774.06
  4. Step 4: Simplify right side
    34,145.80x = 551,833,346.92
  5. Step 5: Solve for x
    x = 551,833,346.92/34,145.80
  6. Step 6: Final answer
    x = 16,161.09

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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.