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Finding the Fourth Proportional to 53,871.04, 80,769.09 and 23,869

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Solution

The fourth proportional to 53,871.04, 80,769.09 and 23,869 is: 35,786.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,871.04 : 80,769.09 = 23,869 : x
  2. Step 2: Convert to fraction form
    53,871.04/80,769.09 = 23,869/x
  3. Step 3: Cross multiply
    53,871.04x = 80,769.09 × 23,869
  4. Step 4: Simplify right side
    53,871.04x = 1,927,877,409.21
  5. Step 5: Solve for x
    x = 1,927,877,409.21/53,871.04
  6. Step 6: Final answer
    x = 35,786.90

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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.