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Finding the Fourth Proportional to 86,640, 119,563.56 and 46,896

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Solution

The fourth proportional to 86,640, 119,563.56 and 46,896 is: 64,716.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,640 : 119,563.56 = 46,896 : x
  2. Step 2: Convert to fraction form
    86,640/119,563.56 = 46,896/x
  3. Step 3: Cross multiply
    86,640x = 119,563.56 × 46,896
  4. Step 4: Simplify right side
    86,640x = 5,607,052,709.76
  5. Step 5: Solve for x
    x = 5,607,052,709.76/86,640
  6. Step 6: Final answer
    x = 64,716.67

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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.