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Finding the Fourth Proportional to 55,276.00, 82,914 and 13,723.00

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Solution

The fourth proportional to 55,276.00, 82,914 and 13,723.00 is: 20,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,276.00 : 82,914 = 13,723.00 : x
  2. Step 2: Convert to fraction form
    55,276.00/82,914 = 13,723.00/x
  3. Step 3: Cross multiply
    55,276.00x = 82,914 × 13,723.00
  4. Step 4: Simplify right side
    55,276.00x = 1,137,828,614.72
  5. Step 5: Solve for x
    x = 1,137,828,614.72/55,276.00
  6. Step 6: Final answer
    x = 20,584.50

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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.