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Finding the Fourth Proportional to 82,424.54, 113,745.48 and 46,614.84

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Solution

The fourth proportional to 82,424.54, 113,745.48 and 46,614.84 is: 64,328.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,424.54 : 113,745.48 = 46,614.84 : x
  2. Step 2: Convert to fraction form
    82,424.54/113,745.48 = 46,614.84/x
  3. Step 3: Cross multiply
    82,424.54x = 113,745.48 × 46,614.84
  4. Step 4: Simplify right side
    82,424.54x = 5,302,227,350.92
  5. Step 5: Solve for x
    x = 5,302,227,350.92/82,424.54
  6. Step 6: Final answer
    x = 64,328.26

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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.