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Finding the Fourth Proportional to 35,577, 49,118.91 and 22,167.84

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Solution

The fourth proportional to 35,577, 49,118.91 and 22,167.84 is: 30,605.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,577 : 49,118.91 = 22,167.84 : x
  2. Step 2: Convert to fraction form
    35,577/49,118.91 = 22,167.84/x
  3. Step 3: Cross multiply
    35,577x = 49,118.91 × 22,167.84
  4. Step 4: Simplify right side
    35,577x = 1,088,860,137.85
  5. Step 5: Solve for x
    x = 1,088,860,137.85/35,577
  6. Step 6: Final answer
    x = 30,605.73

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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.