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Finding the Fourth Proportional to 34,509, 51,774.42 and 11,137.26

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Solution

The fourth proportional to 34,509, 51,774.42 and 11,137.26 is: 16,709.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,509 : 51,774.42 = 11,137.26 : x
  2. Step 2: Convert to fraction form
    34,509/51,774.42 = 11,137.26/x
  3. Step 3: Cross multiply
    34,509x = 51,774.42 × 11,137.26
  4. Step 4: Simplify right side
    34,509x = 576,625,176.89
  5. Step 5: Solve for x
    x = 576,625,176.89/34,509
  6. Step 6: Final answer
    x = 16,709.41

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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.