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Finding the Fourth Proportional to 35,997.06, 49,675.80 and 20,081.50

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Solution

The fourth proportional to 35,997.06, 49,675.80 and 20,081.50 is: 27,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,997.06 : 49,675.80 = 20,081.50 : x
  2. Step 2: Convert to fraction form
    35,997.06/49,675.80 = 20,081.50/x
  3. Step 3: Cross multiply
    35,997.06x = 49,675.80 × 20,081.50
  4. Step 4: Simplify right side
    35,997.06x = 997,564,577.70
  5. Step 5: Solve for x
    x = 997,564,577.70/35,997.06
  6. Step 6: Final answer
    x = 27,712.39

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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.