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Finding the Fourth Proportional to 84,274.44, 116,288.82 and 46,546.44

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Solution

The fourth proportional to 84,274.44, 116,288.82 and 46,546.44 is: 64,228.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,274.44 : 116,288.82 = 46,546.44 : x
  2. Step 2: Convert to fraction form
    84,274.44/116,288.82 = 46,546.44/x
  3. Step 3: Cross multiply
    84,274.44x = 116,288.82 × 46,546.44
  4. Step 4: Simplify right side
    84,274.44x = 5,412,830,582.80
  5. Step 5: Solve for x
    x = 5,412,830,582.80/84,274.44
  6. Step 6: Final answer
    x = 64,228.62

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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.