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Finding the Fourth Proportional to 41,946.48, 57,886.25 and 22,826.25

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Solution

The fourth proportional to 41,946.48, 57,886.25 and 22,826.25 is: 31,500.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,946.48 : 57,886.25 = 22,826.25 : x
  2. Step 2: Convert to fraction form
    41,946.48/57,886.25 = 22,826.25/x
  3. Step 3: Cross multiply
    41,946.48x = 57,886.25 × 22,826.25
  4. Step 4: Simplify right side
    41,946.48x = 1,321,325,899.93
  5. Step 5: Solve for x
    x = 1,321,325,899.93/41,946.48
  6. Step 6: Final answer
    x = 31,500.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.