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Finding the Fourth Proportional to 41,670, 57,504.64 and 22,807.60

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Solution

The fourth proportional to 41,670, 57,504.64 and 22,807.60 is: 31,474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,670 : 57,504.64 = 22,807.60 : x
  2. Step 2: Convert to fraction form
    41,670/57,504.64 = 22,807.60/x
  3. Step 3: Cross multiply
    41,670x = 57,504.64 × 22,807.60
  4. Step 4: Simplify right side
    41,670x = 1,311,542,827.26
  5. Step 5: Solve for x
    x = 1,311,542,827.26/41,670
  6. Step 6: Final answer
    x = 31,474.51

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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.