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Finding the Fourth Proportional to 34,163.76, 51,239.88 and 9,534

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Solution

The fourth proportional to 34,163.76, 51,239.88 and 9,534 is: 14,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,163.76 : 51,239.88 = 9,534 : x
  2. Step 2: Convert to fraction form
    34,163.76/51,239.88 = 9,534/x
  3. Step 3: Cross multiply
    34,163.76x = 51,239.88 × 9,534
  4. Step 4: Simplify right side
    34,163.76x = 488,521,015.92
  5. Step 5: Solve for x
    x = 488,521,015.92/34,163.76
  6. Step 6: Final answer
    x = 14,299.39

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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.