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Finding the Fourth Proportional to 41,874.66, 57,784.02 and 23,969.40

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Solution

The fourth proportional to 41,874.66, 57,784.02 and 23,969.40 is: 33,076.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,874.66 : 57,784.02 = 23,969.40 : x
  2. Step 2: Convert to fraction form
    41,874.66/57,784.02 = 23,969.40/x
  3. Step 3: Cross multiply
    41,874.66x = 57,784.02 × 23,969.40
  4. Step 4: Simplify right side
    41,874.66x = 1,385,048,288.99
  5. Step 5: Solve for x
    x = 1,385,048,288.99/41,874.66
  6. Step 6: Final answer
    x = 33,076.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.