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Finding the Fourth Proportional to 50,765.11, 70,053.28 and 27,794.32

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Solution

The fourth proportional to 50,765.11, 70,053.28 and 27,794.32 is: 38,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,765.11 : 70,053.28 = 27,794.32 : x
  2. Step 2: Convert to fraction form
    50,765.11/70,053.28 = 27,794.32/x
  3. Step 3: Cross multiply
    50,765.11x = 70,053.28 × 27,794.32
  4. Step 4: Simplify right side
    50,765.11x = 1,947,083,036.75
  5. Step 5: Solve for x
    x = 1,947,083,036.75/50,765.11
  6. Step 6: Final answer
    x = 38,354.75

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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.