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Finding the Fourth Proportional to 57,958.34, 86,781.77 and 36,783.74

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Solution

The fourth proportional to 57,958.34, 86,781.77 and 36,783.74 is: 55,076.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,958.34 : 86,781.77 = 36,783.74 : x
  2. Step 2: Convert to fraction form
    57,958.34/86,781.77 = 36,783.74/x
  3. Step 3: Cross multiply
    57,958.34x = 86,781.77 × 36,783.74
  4. Step 4: Simplify right side
    57,958.34x = 3,192,158,064.42
  5. Step 5: Solve for x
    x = 3,192,158,064.42/57,958.34
  6. Step 6: Final answer
    x = 55,076.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.