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Finding the Fourth Proportional to 47,381.43, 65,380.77 and 28,262.25

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Solution

The fourth proportional to 47,381.43, 65,380.77 and 28,262.25 is: 38,998.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,381.43 : 65,380.77 = 28,262.25 : x
  2. Step 2: Convert to fraction form
    47,381.43/65,380.77 = 28,262.25/x
  3. Step 3: Cross multiply
    47,381.43x = 65,380.77 × 28,262.25
  4. Step 4: Simplify right side
    47,381.43x = 1,847,807,666.93
  5. Step 5: Solve for x
    x = 1,847,807,666.93/47,381.43
  6. Step 6: Final answer
    x = 38,998.56

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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.