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Finding the Fourth Proportional to 84,687.94, 116,878.98 and 48,887.56

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Solution

The fourth proportional to 84,687.94, 116,878.98 and 48,887.56 is: 67,470.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,687.94 : 116,878.98 = 48,887.56 : x
  2. Step 2: Convert to fraction form
    84,687.94/116,878.98 = 48,887.56/x
  3. Step 3: Cross multiply
    84,687.94x = 116,878.98 × 48,887.56
  4. Step 4: Simplify right side
    84,687.94x = 5,713,928,147.49
  5. Step 5: Solve for x
    x = 5,713,928,147.49/84,687.94
  6. Step 6: Final answer
    x = 67,470.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.