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Finding the Fourth Proportional to 81,903.28, 113,040.30 and 47,443

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Solution

The fourth proportional to 81,903.28, 113,040.30 and 47,443 is: 65,479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,903.28 : 113,040.30 = 47,443 : x
  2. Step 2: Convert to fraction form
    81,903.28/113,040.30 = 47,443/x
  3. Step 3: Cross multiply
    81,903.28x = 113,040.30 × 47,443
  4. Step 4: Simplify right side
    81,903.28x = 5,362,970,952.90
  5. Step 5: Solve for x
    x = 5,362,970,952.90/81,903.28
  6. Step 6: Final answer
    x = 65,479.32

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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.