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Finding the Fourth Proportional to 55,782.99, 76,984.16 and 31,912.83

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Solution

The fourth proportional to 55,782.99, 76,984.16 and 31,912.83 is: 44,041.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,782.99 : 76,984.16 = 31,912.83 : x
  2. Step 2: Convert to fraction form
    55,782.99/76,984.16 = 31,912.83/x
  3. Step 3: Cross multiply
    55,782.99x = 76,984.16 × 31,912.83
  4. Step 4: Simplify right side
    55,782.99x = 2,456,782,251.21
  5. Step 5: Solve for x
    x = 2,456,782,251.21/55,782.99
  6. Step 6: Final answer
    x = 44,041.78

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1.5x scale

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.