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Finding the Fourth Proportional to 41,130.38, 56,761.09 and 23,228.08

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Solution

The fourth proportional to 41,130.38, 56,761.09 and 23,228.08 is: 32,055.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,130.38 : 56,761.09 = 23,228.08 : x
  2. Step 2: Convert to fraction form
    41,130.38/56,761.09 = 23,228.08/x
  3. Step 3: Cross multiply
    41,130.38x = 56,761.09 × 23,228.08
  4. Step 4: Simplify right side
    41,130.38x = 1,318,451,139.41
  5. Step 5: Solve for x
    x = 1,318,451,139.41/41,130.38
  6. Step 6: Final answer
    x = 32,055.41

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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.