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Finding the Fourth Proportional to 35,991.52, 49,668.38 and 20,076.98

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Solution

The fourth proportional to 35,991.52, 49,668.38 and 20,076.98 is: 27,706.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,991.52 : 49,668.38 = 20,076.98 : x
  2. Step 2: Convert to fraction form
    35,991.52/49,668.38 = 20,076.98/x
  3. Step 3: Cross multiply
    35,991.52x = 49,668.38 × 20,076.98
  4. Step 4: Simplify right side
    35,991.52x = 997,191,071.89
  5. Step 5: Solve for x
    x = 997,191,071.89/35,991.52
  6. Step 6: Final answer
    x = 27,706.28

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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.