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Finding the Fourth Proportional to 41,885, 57,801.32 and 23,023.36

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Solution

The fourth proportional to 41,885, 57,801.32 and 23,023.36 is: 31,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,885 : 57,801.32 = 23,023.36 : x
  2. Step 2: Convert to fraction form
    41,885/57,801.32 = 23,023.36/x
  3. Step 3: Cross multiply
    41,885x = 57,801.32 × 23,023.36
  4. Step 4: Simplify right side
    41,885x = 1,330,780,598.84
  5. Step 5: Solve for x
    x = 1,330,780,598.84/41,885
  6. Step 6: Final answer
    x = 31,772.25

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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.