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Finding the Fourth Proportional to 82,046.68, 113,224.41 and 46,237.98

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Solution

The fourth proportional to 82,046.68, 113,224.41 and 46,237.98 is: 63,808.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,046.68 : 113,224.41 = 46,237.98 : x
  2. Step 2: Convert to fraction form
    82,046.68/113,224.41 = 46,237.98/x
  3. Step 3: Cross multiply
    82,046.68x = 113,224.41 × 46,237.98
  4. Step 4: Simplify right side
    82,046.68x = 5,235,268,005.09
  5. Step 5: Solve for x
    x = 5,235,268,005.09/82,046.68
  6. Step 6: Final answer
    x = 63,808.41

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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.