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Finding the Fourth Proportional to 41,954.02, 57,895.80 and 22,833.12

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Solution

The fourth proportional to 41,954.02, 57,895.80 and 22,833.12 is: 31,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,954.02 : 57,895.80 = 22,833.12 : x
  2. Step 2: Convert to fraction form
    41,954.02/57,895.80 = 22,833.12/x
  3. Step 3: Cross multiply
    41,954.02x = 57,895.80 × 22,833.12
  4. Step 4: Simplify right side
    41,954.02x = 1,321,941,880.38
  5. Step 5: Solve for x
    x = 1,321,941,880.38/41,954.02
  6. Step 6: Final answer
    x = 31,509.30

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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.