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Finding the Fourth Proportional to 86,576, 119,474.88 and 46,832

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Solution

The fourth proportional to 86,576, 119,474.88 and 46,832 is: 64,628.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,576 : 119,474.88 = 46,832 : x
  2. Step 2: Convert to fraction form
    86,576/119,474.88 = 46,832/x
  3. Step 3: Cross multiply
    86,576x = 119,474.88 × 46,832
  4. Step 4: Simplify right side
    86,576x = 5,595,247,580.16
  5. Step 5: Solve for x
    x = 5,595,247,580.16/86,576
  6. Step 6: Final answer
    x = 64,628.16

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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.