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Finding the Fourth Proportional to 47,832.72, 65,940.04 and 31,673

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Solution

The fourth proportional to 47,832.72, 65,940.04 and 31,673 is: 43,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,832.72 : 65,940.04 = 31,673 : x
  2. Step 2: Convert to fraction form
    47,832.72/65,940.04 = 31,673/x
  3. Step 3: Cross multiply
    47,832.72x = 65,940.04 × 31,673
  4. Step 4: Simplify right side
    47,832.72x = 2,088,518,886.92
  5. Step 5: Solve for x
    x = 2,088,518,886.92/47,832.72
  6. Step 6: Final answer
    x = 43,662.98

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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.