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Finding the Fourth Proportional to 114,644.28, 171,970.30 and 30,412.94

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Solution

The fourth proportional to 114,644.28, 171,970.30 and 30,412.94 is: 45,620.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,644.28 : 171,970.30 = 30,412.94 : x
  2. Step 2: Convert to fraction form
    114,644.28/171,970.30 = 30,412.94/x
  3. Step 3: Cross multiply
    114,644.28x = 171,970.30 × 30,412.94
  4. Step 4: Simplify right side
    114,644.28x = 5,230,122,415.68
  5. Step 5: Solve for x
    x = 5,230,122,415.68/114,644.28
  6. Step 6: Final answer
    x = 45,620.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.