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Finding the Fourth Proportional to 50,357.68, 69,494.36 and 27,697.64

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Solution

The fourth proportional to 50,357.68, 69,494.36 and 27,697.64 is: 38,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,357.68 : 69,494.36 = 27,697.64 : x
  2. Step 2: Convert to fraction form
    50,357.68/69,494.36 = 27,697.64/x
  3. Step 3: Cross multiply
    50,357.68x = 69,494.36 × 27,697.64
  4. Step 4: Simplify right side
    50,357.68x = 1,924,829,765.31
  5. Step 5: Solve for x
    x = 1,924,829,765.31/50,357.68
  6. Step 6: Final answer
    x = 38,223.16

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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.