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Finding the Fourth Proportional to 106,367.63, 146,785.44 and 57,970

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Solution

The fourth proportional to 106,367.63, 146,785.44 and 57,970 is: 79,997.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,367.63 : 146,785.44 = 57,970 : x
  2. Step 2: Convert to fraction form
    106,367.63/146,785.44 = 57,970/x
  3. Step 3: Cross multiply
    106,367.63x = 146,785.44 × 57,970
  4. Step 4: Simplify right side
    106,367.63x = 8,509,151,956.80
  5. Step 5: Solve for x
    x = 8,509,151,956.80/106,367.63
  6. Step 6: Final answer
    x = 79,997.57

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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.