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Finding the Fourth Proportional to 34,206, 51,309 and 9,244.13

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Solution

The fourth proportional to 34,206, 51,309 and 9,244.13 is: 13,866.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,206 : 51,309 = 9,244.13 : x
  2. Step 2: Convert to fraction form
    34,206/51,309 = 9,244.13/x
  3. Step 3: Cross multiply
    34,206x = 51,309 × 9,244.13
  4. Step 4: Simplify right side
    34,206x = 474,307,194.44
  5. Step 5: Solve for x
    x = 474,307,194.44/34,206
  6. Step 6: Final answer
    x = 13,866.20

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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.