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Finding the Fourth Proportional to 84,189.02, 116,180.61 and 46,463

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Solution

The fourth proportional to 84,189.02, 116,180.61 and 46,463 is: 64,118.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,189.02 : 116,180.61 = 46,463 : x
  2. Step 2: Convert to fraction form
    84,189.02/116,180.61 = 46,463/x
  3. Step 3: Cross multiply
    84,189.02x = 116,180.61 × 46,463
  4. Step 4: Simplify right side
    84,189.02x = 5,398,099,682.43
  5. Step 5: Solve for x
    x = 5,398,099,682.43/84,189.02
  6. Step 6: Final answer
    x = 64,118.81

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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.