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Finding the Fourth Proportional to 34,064.38, 51,078.04 and 11,871.80

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Solution

The fourth proportional to 34,064.38, 51,078.04 and 11,871.80 is: 17,801.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,064.38 : 51,078.04 = 11,871.80 : x
  2. Step 2: Convert to fraction form
    34,064.38/51,078.04 = 11,871.80/x
  3. Step 3: Cross multiply
    34,064.38x = 51,078.04 × 11,871.80
  4. Step 4: Simplify right side
    34,064.38x = 606,388,275.27
  5. Step 5: Solve for x
    x = 606,388,275.27/34,064.38
  6. Step 6: Final answer
    x = 17,801.24

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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.