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Finding the Fourth Proportional to 27,051, 40,576.01 and 12,242.27

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Solution

The fourth proportional to 27,051, 40,576.01 and 12,242.27 is: 18,363.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,051 : 40,576.01 = 12,242.27 : x
  2. Step 2: Convert to fraction form
    27,051/40,576.01 = 12,242.27/x
  3. Step 3: Cross multiply
    27,051x = 40,576.01 × 12,242.27
  4. Step 4: Simplify right side
    27,051x = 496,742,205.85
  5. Step 5: Solve for x
    x = 496,742,205.85/27,051
  6. Step 6: Final answer
    x = 18,363.17

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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.