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Finding the Fourth Proportional to 30,598.56, 45,892.58 and 8,408.21

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Solution

The fourth proportional to 30,598.56, 45,892.58 and 8,408.21 is: 12,610.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,598.56 : 45,892.58 = 8,408.21 : x
  2. Step 2: Convert to fraction form
    30,598.56/45,892.58 = 8,408.21/x
  3. Step 3: Cross multiply
    30,598.56x = 45,892.58 × 8,408.21
  4. Step 4: Simplify right side
    30,598.56x = 385,874,178.58
  5. Step 5: Solve for x
    x = 385,874,178.58/30,598.56
  6. Step 6: Final answer
    x = 12,610.86

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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.