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Finding the Fourth Proportional to 50,953.38, 70,315.26 and 27,982.94

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Solution

The fourth proportional to 50,953.38, 70,315.26 and 27,982.94 is: 38,616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,953.38 : 70,315.26 = 27,982.94 : x
  2. Step 2: Convert to fraction form
    50,953.38/70,315.26 = 27,982.94/x
  3. Step 3: Cross multiply
    50,953.38x = 70,315.26 × 27,982.94
  4. Step 4: Simplify right side
    50,953.38x = 1,967,627,701.66
  5. Step 5: Solve for x
    x = 1,967,627,701.66/50,953.38
  6. Step 6: Final answer
    x = 38,616.24

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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.