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Finding the Fourth Proportional to 88,782.75, 122,523.84 and 51,057

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Solution

The fourth proportional to 88,782.75, 122,523.84 and 51,057 is: 70,460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,782.75 : 122,523.84 = 51,057 : x
  2. Step 2: Convert to fraction form
    88,782.75/122,523.84 = 51,057/x
  3. Step 3: Cross multiply
    88,782.75x = 122,523.84 × 51,057
  4. Step 4: Simplify right side
    88,782.75x = 6,255,699,698.88
  5. Step 5: Solve for x
    x = 6,255,699,698.88/88,782.75
  6. Step 6: Final answer
    x = 70,460.76

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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.