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Finding the Fourth Proportional to 34,060.60, 46,977.00 and 22,127.78

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Solution

The fourth proportional to 34,060.60, 46,977.00 and 22,127.78 is: 30,519.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,060.60 : 46,977.00 = 22,127.78 : x
  2. Step 2: Convert to fraction form
    34,060.60/46,977.00 = 22,127.78/x
  3. Step 3: Cross multiply
    34,060.60x = 46,977.00 × 22,127.78
  4. Step 4: Simplify right side
    34,060.60x = 1,039,496,375.54
  5. Step 5: Solve for x
    x = 1,039,496,375.54/34,060.60
  6. Step 6: Final answer
    x = 30,519.03

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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.