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Finding the Fourth Proportional to 35,572.88, 49,093.80 and 20,666

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Solution

The fourth proportional to 35,572.88, 49,093.80 and 20,666 is: 28,520.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,572.88 : 49,093.80 = 20,666 : x
  2. Step 2: Convert to fraction form
    35,572.88/49,093.80 = 20,666/x
  3. Step 3: Cross multiply
    35,572.88x = 49,093.80 × 20,666
  4. Step 4: Simplify right side
    35,572.88x = 1,014,572,470.80
  5. Step 5: Solve for x
    x = 1,014,572,470.80/35,572.88
  6. Step 6: Final answer
    x = 28,520.95

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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.