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Finding the Fourth Proportional to 47,673, 65,788.74 and 30,906

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Solution

The fourth proportional to 47,673, 65,788.74 and 30,906 is: 42,650.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,673 : 65,788.74 = 30,906 : x
  2. Step 2: Convert to fraction form
    47,673/65,788.74 = 30,906/x
  3. Step 3: Cross multiply
    47,673x = 65,788.74 × 30,906
  4. Step 4: Simplify right side
    47,673x = 2,033,266,798.44
  5. Step 5: Solve for x
    x = 2,033,266,798.44/47,673
  6. Step 6: Final answer
    x = 42,650.28

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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.