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Finding the Fourth Proportional to 36,374.20, 54,537 and 29,362.84

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Solution

The fourth proportional to 36,374.20, 54,537 and 29,362.84 is: 44,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,374.20 : 54,537 = 29,362.84 : x
  2. Step 2: Convert to fraction form
    36,374.20/54,537 = 29,362.84/x
  3. Step 3: Cross multiply
    36,374.20x = 54,537 × 29,362.84
  4. Step 4: Simplify right side
    36,374.20x = 1,601,361,205.08
  5. Step 5: Solve for x
    x = 1,601,361,205.08/36,374.20
  6. Step 6: Final answer
    x = 44,024.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.