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Finding the Fourth Proportional to 50,597, 69,823.94 and 28,241

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Solution

The fourth proportional to 50,597, 69,823.94 and 28,241 is: 38,972.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,597 : 69,823.94 = 28,241 : x
  2. Step 2: Convert to fraction form
    50,597/69,823.94 = 28,241/x
  3. Step 3: Cross multiply
    50,597x = 69,823.94 × 28,241
  4. Step 4: Simplify right side
    50,597x = 1,971,897,889.54
  5. Step 5: Solve for x
    x = 1,971,897,889.54/50,597
  6. Step 6: Final answer
    x = 38,972.62

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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.