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Finding the Fourth Proportional to 51,922.80, 71,653.41 and 28,049.48

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Solution

The fourth proportional to 51,922.80, 71,653.41 and 28,049.48 is: 38,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,922.80 : 71,653.41 = 28,049.48 : x
  2. Step 2: Convert to fraction form
    51,922.80/71,653.41 = 28,049.48/x
  3. Step 3: Cross multiply
    51,922.80x = 71,653.41 × 28,049.48
  4. Step 4: Simplify right side
    51,922.80x = 2,009,840,532.46
  5. Step 5: Solve for x
    x = 2,009,840,532.46/51,922.80
  6. Step 6: Final answer
    x = 38,708.25

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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.