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Finding the Fourth Proportional to 82,462, 113,797.56 and 44,736.24

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Solution

The fourth proportional to 82,462, 113,797.56 and 44,736.24 is: 61,736.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,462 : 113,797.56 = 44,736.24 : x
  2. Step 2: Convert to fraction form
    82,462/113,797.56 = 44,736.24/x
  3. Step 3: Cross multiply
    82,462x = 113,797.56 × 44,736.24
  4. Step 4: Simplify right side
    82,462x = 5,090,874,955.57
  5. Step 5: Solve for x
    x = 5,090,874,955.57/82,462
  6. Step 6: Final answer
    x = 61,736.01

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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.