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Finding the Fourth Proportional to 27,622.81, 41,423.28 and 12,029.50

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Solution

The fourth proportional to 27,622.81, 41,423.28 and 12,029.50 is: 18,039.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,622.81 : 41,423.28 = 12,029.50 : x
  2. Step 2: Convert to fraction form
    27,622.81/41,423.28 = 12,029.50/x
  3. Step 3: Cross multiply
    27,622.81x = 41,423.28 × 12,029.50
  4. Step 4: Simplify right side
    27,622.81x = 498,301,346.76
  5. Step 5: Solve for x
    x = 498,301,346.76/27,622.81
  6. Step 6: Final answer
    x = 18,039.49

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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.