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Finding the Fourth Proportional to 50,258.65, 69,353.78 and 27,597.48

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Solution

The fourth proportional to 50,258.65, 69,353.78 and 27,597.48 is: 38,082.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,258.65 : 69,353.78 = 27,597.48 : x
  2. Step 2: Convert to fraction form
    50,258.65/69,353.78 = 27,597.48/x
  3. Step 3: Cross multiply
    50,258.65x = 69,353.78 × 27,597.48
  4. Step 4: Simplify right side
    50,258.65x = 1,913,989,556.47
  5. Step 5: Solve for x
    x = 1,913,989,556.47/50,258.65
  6. Step 6: Final answer
    x = 38,082.79

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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.