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Finding the Fourth Proportional to 50,301, 69,415.38 and 27,945

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Solution

The fourth proportional to 50,301, 69,415.38 and 27,945 is: 38,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,301 : 69,415.38 = 27,945 : x
  2. Step 2: Convert to fraction form
    50,301/69,415.38 = 27,945/x
  3. Step 3: Cross multiply
    50,301x = 69,415.38 × 27,945
  4. Step 4: Simplify right side
    50,301x = 1,939,812,794.10
  5. Step 5: Solve for x
    x = 1,939,812,794.10/50,301
  6. Step 6: Final answer
    x = 38,564.10

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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.