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Finding the Fourth Proportional to 84,773.64, 116,993.22 and 47,047.88

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Solution

The fourth proportional to 84,773.64, 116,993.22 and 47,047.88 is: 64,929.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,773.64 : 116,993.22 = 47,047.88 : x
  2. Step 2: Convert to fraction form
    84,773.64/116,993.22 = 47,047.88/x
  3. Step 3: Cross multiply
    84,773.64x = 116,993.22 × 47,047.88
  4. Step 4: Simplify right side
    84,773.64x = 5,504,282,975.37
  5. Step 5: Solve for x
    x = 5,504,282,975.37/84,773.64
  6. Step 6: Final answer
    x = 64,929.18

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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.