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Finding the Fourth Proportional to 51,608.64, 71,208.48 and 32,769.60

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Solution

The fourth proportional to 51,608.64, 71,208.48 and 32,769.60 is: 45,214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,608.64 : 71,208.48 = 32,769.60 : x
  2. Step 2: Convert to fraction form
    51,608.64/71,208.48 = 32,769.60/x
  3. Step 3: Cross multiply
    51,608.64x = 71,208.48 × 32,769.60
  4. Step 4: Simplify right side
    51,608.64x = 2,333,473,406.21
  5. Step 5: Solve for x
    x = 2,333,473,406.21/51,608.64
  6. Step 6: Final answer
    x = 45,214.78

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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.