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Finding the Fourth Proportional to 34,805, 52,209.42 and 10,182.92

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Solution

The fourth proportional to 34,805, 52,209.42 and 10,182.92 is: 15,274.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,805 : 52,209.42 = 10,182.92 : x
  2. Step 2: Convert to fraction form
    34,805/52,209.42 = 10,182.92/x
  3. Step 3: Cross multiply
    34,805x = 52,209.42 × 10,182.92
  4. Step 4: Simplify right side
    34,805x = 531,644,347.11
  5. Step 5: Solve for x
    x = 531,644,347.11/34,805
  6. Step 6: Final answer
    x = 15,274.94

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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.