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Finding the Fourth Proportional to 34,021.10, 51,024.36 and 10,644.50

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Solution

The fourth proportional to 34,021.10, 51,024.36 and 10,644.50 is: 15,964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,021.10 : 51,024.36 = 10,644.50 : x
  2. Step 2: Convert to fraction form
    34,021.10/51,024.36 = 10,644.50/x
  3. Step 3: Cross multiply
    34,021.10x = 51,024.36 × 10,644.50
  4. Step 4: Simplify right side
    34,021.10x = 543,128,800.02
  5. Step 5: Solve for x
    x = 543,128,800.02/34,021.10
  6. Step 6: Final answer
    x = 15,964.47

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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.