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Finding the Fourth Proportional to 114,644.29, 171,970.29 and 30,412.96

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Solution

The fourth proportional to 114,644.29, 171,970.29 and 30,412.96 is: 45,620.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,644.29 : 171,970.29 = 30,412.96 : x
  2. Step 2: Convert to fraction form
    114,644.29/171,970.29 = 30,412.96/x
  3. Step 3: Cross multiply
    114,644.29x = 171,970.29 × 30,412.96
  4. Step 4: Simplify right side
    114,644.29x = 5,230,125,550.96
  5. Step 5: Solve for x
    x = 5,230,125,550.96/114,644.29
  6. Step 6: Final answer
    x = 45,620.46

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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.