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Finding the Fourth Proportional to 34,168, 51,260.64 and 9,544

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Solution

The fourth proportional to 34,168, 51,260.64 and 9,544 is: 14,318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,168 : 51,260.64 = 9,544 : x
  2. Step 2: Convert to fraction form
    34,168/51,260.64 = 9,544/x
  3. Step 3: Cross multiply
    34,168x = 51,260.64 × 9,544
  4. Step 4: Simplify right side
    34,168x = 489,231,548.16
  5. Step 5: Solve for x
    x = 489,231,548.16/34,168
  6. Step 6: Final answer
    x = 14,318.41

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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.