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Finding the Fourth Proportional to 84,447.70, 116,534.41 and 50,474.93

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Solution

The fourth proportional to 84,447.70, 116,534.41 and 50,474.93 is: 69,653.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,447.70 : 116,534.41 = 50,474.93 : x
  2. Step 2: Convert to fraction form
    84,447.70/116,534.41 = 50,474.93/x
  3. Step 3: Cross multiply
    84,447.70x = 116,534.41 × 50,474.93
  4. Step 4: Simplify right side
    84,447.70x = 5,882,066,696.60
  5. Step 5: Solve for x
    x = 5,882,066,696.60/84,447.70
  6. Step 6: Final answer
    x = 69,653.37

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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.