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Finding the Fourth Proportional to 34,551, 51,829.38 and 9,927

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Solution

The fourth proportional to 34,551, 51,829.38 and 9,927 is: 14,891.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,551 : 51,829.38 = 9,927 : x
  2. Step 2: Convert to fraction form
    34,551/51,829.38 = 9,927/x
  3. Step 3: Cross multiply
    34,551x = 51,829.38 × 9,927
  4. Step 4: Simplify right side
    34,551x = 514,510,255.26
  5. Step 5: Solve for x
    x = 514,510,255.26/34,551
  6. Step 6: Final answer
    x = 14,891.33

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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.