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Finding the Fourth Proportional to 84,753.87, 116,966.80 and 47,028.12

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Solution

The fourth proportional to 84,753.87, 116,966.80 and 47,028.12 is: 64,902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,753.87 : 116,966.80 = 47,028.12 : x
  2. Step 2: Convert to fraction form
    84,753.87/116,966.80 = 47,028.12/x
  3. Step 3: Cross multiply
    84,753.87x = 116,966.80 × 47,028.12
  4. Step 4: Simplify right side
    84,753.87x = 5,500,728,004.01
  5. Step 5: Solve for x
    x = 5,500,728,004.01/84,753.87
  6. Step 6: Final answer
    x = 64,902.39

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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.