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Finding the Fourth Proportional to 76,278.80, 114,418.20 and 48,285.20

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Solution

The fourth proportional to 76,278.80, 114,418.20 and 48,285.20 is: 72,427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,278.80 : 114,418.20 = 48,285.20 : x
  2. Step 2: Convert to fraction form
    76,278.80/114,418.20 = 48,285.20/x
  3. Step 3: Cross multiply
    76,278.80x = 114,418.20 × 48,285.20
  4. Step 4: Simplify right side
    76,278.80x = 5,524,705,670.64
  5. Step 5: Solve for x
    x = 5,524,705,670.64/76,278.80
  6. Step 6: Final answer
    x = 72,427.80

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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.