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Finding the Fourth Proportional to 35,758.50, 49,345.38 and 19,841.82

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Solution

The fourth proportional to 35,758.50, 49,345.38 and 19,841.82 is: 27,380.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,758.50 : 49,345.38 = 19,841.82 : x
  2. Step 2: Convert to fraction form
    35,758.50/49,345.38 = 19,841.82/x
  3. Step 3: Cross multiply
    35,758.50x = 49,345.38 × 19,841.82
  4. Step 4: Simplify right side
    35,758.50x = 979,102,147.79
  5. Step 5: Solve for x
    x = 979,102,147.79/35,758.50
  6. Step 6: Final answer
    x = 27,380.96

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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.