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Finding the Fourth Proportional to 84,131.64, 116,097.30 and 52,299.99

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Solution

The fourth proportional to 84,131.64, 116,097.30 and 52,299.99 is: 72,171.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,131.64 : 116,097.30 = 52,299.99 : x
  2. Step 2: Convert to fraction form
    84,131.64/116,097.30 = 52,299.99/x
  3. Step 3: Cross multiply
    84,131.64x = 116,097.30 × 52,299.99
  4. Step 4: Simplify right side
    84,131.64x = 6,071,887,629.03
  5. Step 5: Solve for x
    x = 6,071,887,629.03/84,131.64
  6. Step 6: Final answer
    x = 72,171.27

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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.