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Finding the Fourth Proportional to 50,330, 75,788.54 and 37,274.96

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Solution

The fourth proportional to 50,330, 75,788.54 and 37,274.96 is: 56,129.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,330 : 75,788.54 = 37,274.96 : x
  2. Step 2: Convert to fraction form
    50,330/75,788.54 = 37,274.96/x
  3. Step 3: Cross multiply
    50,330x = 75,788.54 × 37,274.96
  4. Step 4: Simplify right side
    50,330x = 2,825,014,796.96
  5. Step 5: Solve for x
    x = 2,825,014,796.96/50,330
  6. Step 6: Final answer
    x = 56,129.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.