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Finding the Fourth Proportional to 55,596, 76,722.48 and 33,245.28

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Solution

The fourth proportional to 55,596, 76,722.48 and 33,245.28 is: 45,878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,596 : 76,722.48 = 33,245.28 : x
  2. Step 2: Convert to fraction form
    55,596/76,722.48 = 33,245.28/x
  3. Step 3: Cross multiply
    55,596x = 76,722.48 × 33,245.28
  4. Step 4: Simplify right side
    55,596x = 2,550,660,329.89
  5. Step 5: Solve for x
    x = 2,550,660,329.89/55,596
  6. Step 6: Final answer
    x = 45,878.49

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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.