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Finding the Fourth Proportional to 34,160.64, 51,240.96 and 9,536

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Solution

The fourth proportional to 34,160.64, 51,240.96 and 9,536 is: 14,304

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,160.64 : 51,240.96 = 9,536 : x
  2. Step 2: Convert to fraction form
    34,160.64/51,240.96 = 9,536/x
  3. Step 3: Cross multiply
    34,160.64x = 51,240.96 × 9,536
  4. Step 4: Simplify right side
    34,160.64x = 488,633,794.56
  5. Step 5: Solve for x
    x = 488,633,794.56/34,160.64
  6. Step 6: Final answer
    x = 14,304

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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.