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Finding the Fourth Proportional to 32,769.72, 45,283.50 and 27,921.78

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Solution

The fourth proportional to 32,769.72, 45,283.50 and 27,921.78 is: 38,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,769.72 : 45,283.50 = 27,921.78 : x
  2. Step 2: Convert to fraction form
    32,769.72/45,283.50 = 27,921.78/x
  3. Step 3: Cross multiply
    32,769.72x = 45,283.50 × 27,921.78
  4. Step 4: Simplify right side
    32,769.72x = 1,264,395,924.63
  5. Step 5: Solve for x
    x = 1,264,395,924.63/32,769.72
  6. Step 6: Final answer
    x = 38,584.28

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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.