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Finding the Fourth Proportional to 34,544.43, 51,816.65 and 9,584.48

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Solution

The fourth proportional to 34,544.43, 51,816.65 and 9,584.48 is: 14,376.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,544.43 : 51,816.65 = 9,584.48 : x
  2. Step 2: Convert to fraction form
    34,544.43/51,816.65 = 9,584.48/x
  3. Step 3: Cross multiply
    34,544.43x = 51,816.65 × 9,584.48
  4. Step 4: Simplify right side
    34,544.43x = 496,635,727.21
  5. Step 5: Solve for x
    x = 496,635,727.21/34,544.43
  6. Step 6: Final answer
    x = 14,376.72

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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.