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Finding the Fourth Proportional to 40,809.21, 56,318.15 and 23,824.32

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Solution

The fourth proportional to 40,809.21, 56,318.15 and 23,824.32 is: 32,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,809.21 : 56,318.15 = 23,824.32 : x
  2. Step 2: Convert to fraction form
    40,809.21/56,318.15 = 23,824.32/x
  3. Step 3: Cross multiply
    40,809.21x = 56,318.15 × 23,824.32
  4. Step 4: Simplify right side
    40,809.21x = 1,341,741,627.41
  5. Step 5: Solve for x
    x = 1,341,741,627.41/40,809.21
  6. Step 6: Final answer
    x = 32,878.40

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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.