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Finding the Fourth Proportional to 41,615.54, 57,434.76 and 23,717

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Solution

The fourth proportional to 41,615.54, 57,434.76 and 23,717 is: 32,732.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,615.54 : 57,434.76 = 23,717 : x
  2. Step 2: Convert to fraction form
    41,615.54/57,434.76 = 23,717/x
  3. Step 3: Cross multiply
    41,615.54x = 57,434.76 × 23,717
  4. Step 4: Simplify right side
    41,615.54x = 1,362,180,202.92
  5. Step 5: Solve for x
    x = 1,362,180,202.92/41,615.54
  6. Step 6: Final answer
    x = 32,732.49

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1.5x scale

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.