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Finding the Fourth Proportional to 47,508.70, 65,533.46 and 31,376.16

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Solution

The fourth proportional to 47,508.70, 65,533.46 and 31,376.16 is: 43,280.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,508.70 : 65,533.46 = 31,376.16 : x
  2. Step 2: Convert to fraction form
    47,508.70/65,533.46 = 31,376.16/x
  3. Step 3: Cross multiply
    47,508.70x = 65,533.46 × 31,376.16
  4. Step 4: Simplify right side
    47,508.70x = 2,056,188,169.43
  5. Step 5: Solve for x
    x = 2,056,188,169.43/47,508.70
  6. Step 6: Final answer
    x = 43,280.24

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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.