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Finding the Fourth Proportional to 34,858.64, 52,287.51 and 8,563.61

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Solution

The fourth proportional to 34,858.64, 52,287.51 and 8,563.61 is: 12,845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,858.64 : 52,287.51 = 8,563.61 : x
  2. Step 2: Convert to fraction form
    34,858.64/52,287.51 = 8,563.61/x
  3. Step 3: Cross multiply
    34,858.64x = 52,287.51 × 8,563.61
  4. Step 4: Simplify right side
    34,858.64x = 447,769,843.51
  5. Step 5: Solve for x
    x = 447,769,843.51/34,858.64
  6. Step 6: Final answer
    x = 12,845.30

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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.