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Finding the Fourth Proportional to 50,865.41, 70,194.24 and 28,206.06

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Solution

The fourth proportional to 50,865.41, 70,194.24 and 28,206.06 is: 38,924.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,865.41 : 70,194.24 = 28,206.06 : x
  2. Step 2: Convert to fraction form
    50,865.41/70,194.24 = 28,206.06/x
  3. Step 3: Cross multiply
    50,865.41x = 70,194.24 × 28,206.06
  4. Step 4: Simplify right side
    50,865.41x = 1,979,902,945.09
  5. Step 5: Solve for x
    x = 1,979,902,945.09/50,865.41
  6. Step 6: Final answer
    x = 38,924.35

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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.