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Finding the Fourth Proportional to 41,123, 56,749.74 and 22,260.26

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Solution

The fourth proportional to 41,123, 56,749.74 and 22,260.26 is: 30,719.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,123 : 56,749.74 = 22,260.26 : x
  2. Step 2: Convert to fraction form
    41,123/56,749.74 = 22,260.26/x
  3. Step 3: Cross multiply
    41,123x = 56,749.74 × 22,260.26
  4. Step 4: Simplify right side
    41,123x = 1,263,263,967.33
  5. Step 5: Solve for x
    x = 1,263,263,967.33/41,123
  6. Step 6: Final answer
    x = 30,719.16

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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.