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Finding the Fourth Proportional to 27,047, 40,572.34 and 8,325.88

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Solution

The fourth proportional to 27,047, 40,572.34 and 8,325.88 is: 12,489.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,047 : 40,572.34 = 8,325.88 : x
  2. Step 2: Convert to fraction form
    27,047/40,572.34 = 8,325.88/x
  3. Step 3: Cross multiply
    27,047x = 40,572.34 × 8,325.88
  4. Step 4: Simplify right side
    27,047x = 337,800,434.16
  5. Step 5: Solve for x
    x = 337,800,434.16/27,047
  6. Step 6: Final answer
    x = 12,489.39

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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.