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Finding the Fourth Proportional to 34,611.84, 51,917.76 and 9,650.88

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Solution

The fourth proportional to 34,611.84, 51,917.76 and 9,650.88 is: 14,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,611.84 : 51,917.76 = 9,650.88 : x
  2. Step 2: Convert to fraction form
    34,611.84/51,917.76 = 9,650.88/x
  3. Step 3: Cross multiply
    34,611.84x = 51,917.76 × 9,650.88
  4. Step 4: Simplify right side
    34,611.84x = 501,052,071.63
  5. Step 5: Solve for x
    x = 501,052,071.63/34,611.84
  6. Step 6: Final answer
    x = 14,476.32

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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.