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Finding the Fourth Proportional to 30,874.06, 42,584.31 and 26,137.84

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Solution

The fourth proportional to 30,874.06, 42,584.31 and 26,137.84 is: 36,051.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.06 : 42,584.31 = 26,137.84 : x
  2. Step 2: Convert to fraction form
    30,874.06/42,584.31 = 26,137.84/x
  3. Step 3: Cross multiply
    30,874.06x = 42,584.31 × 26,137.84
  4. Step 4: Simplify right side
    30,874.06x = 1,113,061,781.16
  5. Step 5: Solve for x
    x = 1,113,061,781.16/30,874.06
  6. Step 6: Final answer
    x = 36,051.68

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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.