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Finding the Fourth Proportional to 47,404.56, 65,361.96 and 31,463.76

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Solution

The fourth proportional to 47,404.56, 65,361.96 and 31,463.76 is: 43,382.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,404.56 : 65,361.96 = 31,463.76 : x
  2. Step 2: Convert to fraction form
    47,404.56/65,361.96 = 31,463.76/x
  3. Step 3: Cross multiply
    47,404.56x = 65,361.96 × 31,463.76
  4. Step 4: Simplify right side
    47,404.56x = 2,056,533,022.57
  5. Step 5: Solve for x
    x = 2,056,533,022.57/47,404.56
  6. Step 6: Final answer
    x = 43,382.60

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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.