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Finding the Fourth Proportional to 27,969.30, 41,830.02 and 24,871.05

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Solution

The fourth proportional to 27,969.30, 41,830.02 and 24,871.05 is: 37,196.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,969.30 : 41,830.02 = 24,871.05 : x
  2. Step 2: Convert to fraction form
    27,969.30/41,830.02 = 24,871.05/x
  3. Step 3: Cross multiply
    27,969.30x = 41,830.02 × 24,871.05
  4. Step 4: Simplify right side
    27,969.30x = 1,040,356,518.92
  5. Step 5: Solve for x
    x = 1,040,356,518.92/27,969.30
  6. Step 6: Final answer
    x = 37,196.37

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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.