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Finding the Fourth Proportional to 34,494.69, 51,742.04 and 10,804.09

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Solution

The fourth proportional to 34,494.69, 51,742.04 and 10,804.09 is: 16,206.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,494.69 : 51,742.04 = 10,804.09 : x
  2. Step 2: Convert to fraction form
    34,494.69/51,742.04 = 10,804.09/x
  3. Step 3: Cross multiply
    34,494.69x = 51,742.04 × 10,804.09
  4. Step 4: Simplify right side
    34,494.69x = 559,025,776.88
  5. Step 5: Solve for x
    x = 559,025,776.88/34,494.69
  6. Step 6: Final answer
    x = 16,206.14

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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.