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Finding the Fourth Proportional to 34,603.20, 51,903.48 and 11,229

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Solution

The fourth proportional to 34,603.20, 51,903.48 and 11,229 is: 16,843.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,603.20 : 51,903.48 = 11,229 : x
  2. Step 2: Convert to fraction form
    34,603.20/51,903.48 = 11,229/x
  3. Step 3: Cross multiply
    34,603.20x = 51,903.48 × 11,229
  4. Step 4: Simplify right side
    34,603.20x = 582,824,176.92
  5. Step 5: Solve for x
    x = 582,824,176.92/34,603.20
  6. Step 6: Final answer
    x = 16,843.07

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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.