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Finding the Fourth Proportional to 41,784.85, 57,661.03 and 23,878.79

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Solution

The fourth proportional to 41,784.85, 57,661.03 and 23,878.79 is: 32,951.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,784.85 : 57,661.03 = 23,878.79 : x
  2. Step 2: Convert to fraction form
    41,784.85/57,661.03 = 23,878.79/x
  3. Step 3: Cross multiply
    41,784.85x = 57,661.03 × 23,878.79
  4. Step 4: Simplify right side
    41,784.85x = 1,376,875,626.55
  5. Step 5: Solve for x
    x = 1,376,875,626.55/41,784.85
  6. Step 6: Final answer
    x = 32,951.55

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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.