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Finding the Fourth Proportional to 82,216.06, 113,463.27 and 46,393

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Solution

The fourth proportional to 82,216.06, 113,463.27 and 46,393 is: 64,025.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,216.06 : 113,463.27 = 46,393 : x
  2. Step 2: Convert to fraction form
    82,216.06/113,463.27 = 46,393/x
  3. Step 3: Cross multiply
    82,216.06x = 113,463.27 × 46,393
  4. Step 4: Simplify right side
    82,216.06x = 5,263,901,485.11
  5. Step 5: Solve for x
    x = 5,263,901,485.11/82,216.06
  6. Step 6: Final answer
    x = 64,025.22

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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.