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Finding the Fourth Proportional to 34,259.36, 51,391.28 and 10,564

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Solution

The fourth proportional to 34,259.36, 51,391.28 and 10,564 is: 15,846.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,259.36 : 51,391.28 = 10,564 : x
  2. Step 2: Convert to fraction form
    34,259.36/51,391.28 = 10,564/x
  3. Step 3: Cross multiply
    34,259.36x = 51,391.28 × 10,564
  4. Step 4: Simplify right side
    34,259.36x = 542,897,481.92
  5. Step 5: Solve for x
    x = 542,897,481.92/34,259.36
  6. Step 6: Final answer
    x = 15,846.69

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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.