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Finding the Fourth Proportional to 34,536, 51,805.12 and 9,576.32

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Solution

The fourth proportional to 34,536, 51,805.12 and 9,576.32 is: 14,364.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,536 : 51,805.12 = 9,576.32 : x
  2. Step 2: Convert to fraction form
    34,536/51,805.12 = 9,576.32/x
  3. Step 3: Cross multiply
    34,536x = 51,805.12 × 9,576.32
  4. Step 4: Simplify right side
    34,536x = 496,102,406.76
  5. Step 5: Solve for x
    x = 496,102,406.76/34,536
  6. Step 6: Final answer
    x = 14,364.79

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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.