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Finding the Fourth Proportional to 47,380.95, 65,363.36 and 28,249.83

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Solution

The fourth proportional to 47,380.95, 65,363.36 and 28,249.83 is: 38,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,380.95 : 65,363.36 = 28,249.83 : x
  2. Step 2: Convert to fraction form
    47,380.95/65,363.36 = 28,249.83/x
  3. Step 3: Cross multiply
    47,380.95x = 65,363.36 × 28,249.83
  4. Step 4: Simplify right side
    47,380.95x = 1,846,503,666.98
  5. Step 5: Solve for x
    x = 1,846,503,666.98/47,380.95
  6. Step 6: Final answer
    x = 38,971.44

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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.