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Finding the Fourth Proportional to 62,782.80, 94,327.80 and 47,230.80

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Solution

The fourth proportional to 62,782.80, 94,327.80 and 47,230.80 is: 70,961.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,782.80 : 94,327.80 = 47,230.80 : x
  2. Step 2: Convert to fraction form
    62,782.80/94,327.80 = 47,230.80/x
  3. Step 3: Cross multiply
    62,782.80x = 94,327.80 × 47,230.80
  4. Step 4: Simplify right side
    62,782.80x = 4,455,177,456.24
  5. Step 5: Solve for x
    x = 4,455,177,456.24/62,782.80
  6. Step 6: Final answer
    x = 70,961.75

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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.