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Finding the Fourth Proportional to 34,338, 51,496.08 and 10,959

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Solution

The fourth proportional to 34,338, 51,496.08 and 10,959 is: 16,435.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,338 : 51,496.08 = 10,959 : x
  2. Step 2: Convert to fraction form
    34,338/51,496.08 = 10,959/x
  3. Step 3: Cross multiply
    34,338x = 51,496.08 × 10,959
  4. Step 4: Simplify right side
    34,338x = 564,345,540.72
  5. Step 5: Solve for x
    x = 564,345,540.72/34,338
  6. Step 6: Final answer
    x = 16,435.01

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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.