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Finding the Fourth Proportional to 84,086.56, 116,038.74 and 46,360

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Solution

The fourth proportional to 84,086.56, 116,038.74 and 46,360 is: 63,976.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,086.56 : 116,038.74 = 46,360 : x
  2. Step 2: Convert to fraction form
    84,086.56/116,038.74 = 46,360/x
  3. Step 3: Cross multiply
    84,086.56x = 116,038.74 × 46,360
  4. Step 4: Simplify right side
    84,086.56x = 5,379,555,986.40
  5. Step 5: Solve for x
    x = 5,379,555,986.40/84,086.56
  6. Step 6: Final answer
    x = 63,976.41

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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.