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Finding the Fourth Proportional to 86,757, 119,724.84 and 47,013

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Solution

The fourth proportional to 86,757, 119,724.84 and 47,013 is: 64,878.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,757 : 119,724.84 = 47,013 : x
  2. Step 2: Convert to fraction form
    86,757/119,724.84 = 47,013/x
  3. Step 3: Cross multiply
    86,757x = 119,724.84 × 47,013
  4. Step 4: Simplify right side
    86,757x = 5,628,623,902.92
  5. Step 5: Solve for x
    x = 5,628,623,902.92/86,757
  6. Step 6: Final answer
    x = 64,878.04

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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.