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Finding the Fourth Proportional to 84,190.02, 116,181.99 and 46,464

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Solution

The fourth proportional to 84,190.02, 116,181.99 and 46,464 is: 64,120.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,190.02 : 116,181.99 = 46,464 : x
  2. Step 2: Convert to fraction form
    84,190.02/116,181.99 = 46,464/x
  3. Step 3: Cross multiply
    84,190.02x = 116,181.99 × 46,464
  4. Step 4: Simplify right side
    84,190.02x = 5,398,279,983.36
  5. Step 5: Solve for x
    x = 5,398,279,983.36/84,190.02
  6. Step 6: Final answer
    x = 64,120.19

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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.