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Finding the Fourth Proportional to 41,190.67, 56,824 and 24,189.40

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Solution

The fourth proportional to 41,190.67, 56,824 and 24,189.40 is: 33,370.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,190.67 : 56,824 = 24,189.40 : x
  2. Step 2: Convert to fraction form
    41,190.67/56,824 = 24,189.40/x
  3. Step 3: Cross multiply
    41,190.67x = 56,824 × 24,189.40
  4. Step 4: Simplify right side
    41,190.67x = 1,374,538,465.60
  5. Step 5: Solve for x
    x = 1,374,538,465.60/41,190.67
  6. Step 6: Final answer
    x = 33,370.14

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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.