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Finding the Fourth Proportional to 51,605.80, 77,412.78 and 22,023.88

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Solution

The fourth proportional to 51,605.80, 77,412.78 and 22,023.88 is: 33,037.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,605.80 : 77,412.78 = 22,023.88 : x
  2. Step 2: Convert to fraction form
    51,605.80/77,412.78 = 22,023.88/x
  3. Step 3: Cross multiply
    51,605.80x = 77,412.78 × 22,023.88
  4. Step 4: Simplify right side
    51,605.80x = 1,704,929,777.19
  5. Step 5: Solve for x
    x = 1,704,929,777.19/51,605.80
  6. Step 6: Final answer
    x = 33,037.56

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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.