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Finding the Fourth Proportional to 35,674.90, 49,234.13 and 19,760.83

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Solution

The fourth proportional to 35,674.90, 49,234.13 and 19,760.83 is: 27,271.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,674.90 : 49,234.13 = 19,760.83 : x
  2. Step 2: Convert to fraction form
    35,674.90/49,234.13 = 19,760.83/x
  3. Step 3: Cross multiply
    35,674.90x = 49,234.13 × 19,760.83
  4. Step 4: Simplify right side
    35,674.90x = 972,907,125.34
  5. Step 5: Solve for x
    x = 972,907,125.34/35,674.90
  6. Step 6: Final answer
    x = 27,271.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.