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Finding the Fourth Proportional to 41,942, 57,880.36 and 23,079.54

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Solution

The fourth proportional to 41,942, 57,880.36 and 23,079.54 is: 31,849.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,942 : 57,880.36 = 23,079.54 : x
  2. Step 2: Convert to fraction form
    41,942/57,880.36 = 23,079.54/x
  3. Step 3: Cross multiply
    41,942x = 57,880.36 × 23,079.54
  4. Step 4: Simplify right side
    41,942x = 1,335,852,083.83
  5. Step 5: Solve for x
    x = 1,335,852,083.83/41,942
  6. Step 6: Final answer
    x = 31,849.99

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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.