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Finding the Fourth Proportional to 34,794.56, 52,192.15 and 11,421

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Solution

The fourth proportional to 34,794.56, 52,192.15 and 11,421 is: 17,131.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,794.56 : 52,192.15 = 11,421 : x
  2. Step 2: Convert to fraction form
    34,794.56/52,192.15 = 11,421/x
  3. Step 3: Cross multiply
    34,794.56x = 52,192.15 × 11,421
  4. Step 4: Simplify right side
    34,794.56x = 596,086,516.60
  5. Step 5: Solve for x
    x = 596,086,516.60/34,794.56
  6. Step 6: Final answer
    x = 17,131.60

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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.