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Finding the Fourth Proportional to 47,439.12, 65,465.88 and 30,672

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Solution

The fourth proportional to 47,439.12, 65,465.88 and 30,672 is: 42,327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,439.12 : 65,465.88 = 30,672 : x
  2. Step 2: Convert to fraction form
    47,439.12/65,465.88 = 30,672/x
  3. Step 3: Cross multiply
    47,439.12x = 65,465.88 × 30,672
  4. Step 4: Simplify right side
    47,439.12x = 2,007,969,471.36
  5. Step 5: Solve for x
    x = 2,007,969,471.36/47,439.12
  6. Step 6: Final answer
    x = 42,327.29

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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.