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Finding the Fourth Proportional to 41,132.72, 56,763.72 and 23,228

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Solution

The fourth proportional to 41,132.72, 56,763.72 and 23,228 is: 32,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,132.72 : 56,763.72 = 23,228 : x
  2. Step 2: Convert to fraction form
    41,132.72/56,763.72 = 23,228/x
  3. Step 3: Cross multiply
    41,132.72x = 56,763.72 × 23,228
  4. Step 4: Simplify right side
    41,132.72x = 1,318,507,688.16
  5. Step 5: Solve for x
    x = 1,318,507,688.16/41,132.72
  6. Step 6: Final answer
    x = 32,054.96

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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.