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Finding the Fourth Proportional to 50,825.93, 70,138.85 and 28,164.42

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Solution

The fourth proportional to 50,825.93, 70,138.85 and 28,164.42 is: 38,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,825.93 : 70,138.85 = 28,164.42 : x
  2. Step 2: Convert to fraction form
    50,825.93/70,138.85 = 28,164.42/x
  3. Step 3: Cross multiply
    50,825.93x = 70,138.85 × 28,164.42
  4. Step 4: Simplify right side
    50,825.93x = 1,975,419,888.89
  5. Step 5: Solve for x
    x = 1,975,419,888.89/50,825.93
  6. Step 6: Final answer
    x = 38,866.38

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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.