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Finding the Fourth Proportional to 47,383.68, 65,382.28 and 31,491.48

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Solution

The fourth proportional to 47,383.68, 65,382.28 and 31,491.48 is: 43,453.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,383.68 : 65,382.28 = 31,491.48 : x
  2. Step 2: Convert to fraction form
    47,383.68/65,382.28 = 31,491.48/x
  3. Step 3: Cross multiply
    47,383.68x = 65,382.28 × 31,491.48
  4. Step 4: Simplify right side
    47,383.68x = 2,058,984,762.97
  5. Step 5: Solve for x
    x = 2,058,984,762.97/47,383.68
  6. Step 6: Final answer
    x = 43,453.46

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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.