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Finding the Fourth Proportional to 35,775.82, 49,370.82 and 22,354.87

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Solution

The fourth proportional to 35,775.82, 49,370.82 and 22,354.87 is: 30,849.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,775.82 : 49,370.82 = 22,354.87 : x
  2. Step 2: Convert to fraction form
    35,775.82/49,370.82 = 22,354.87/x
  3. Step 3: Cross multiply
    35,775.82x = 49,370.82 × 22,354.87
  4. Step 4: Simplify right side
    35,775.82x = 1,103,678,262.89
  5. Step 5: Solve for x
    x = 1,103,678,262.89/35,775.82
  6. Step 6: Final answer
    x = 30,849.84

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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.