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Finding the Fourth Proportional to 35,525.98, 49,027.44 and 20,423.53

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Solution

The fourth proportional to 35,525.98, 49,027.44 and 20,423.53 is: 28,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,525.98 : 49,027.44 = 20,423.53 : x
  2. Step 2: Convert to fraction form
    35,525.98/49,027.44 = 20,423.53/x
  3. Step 3: Cross multiply
    35,525.98x = 49,027.44 × 20,423.53
  4. Step 4: Simplify right side
    35,525.98x = 1,001,313,391.66
  5. Step 5: Solve for x
    x = 1,001,313,391.66/35,525.98
  6. Step 6: Final answer
    x = 28,185.38

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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.