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Finding the Fourth Proportional to 30,181.32, 45,206.46 and 18,459

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Solution

The fourth proportional to 30,181.32, 45,206.46 and 18,459 is: 27,648.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,181.32 : 45,206.46 = 18,459 : x
  2. Step 2: Convert to fraction form
    30,181.32/45,206.46 = 18,459/x
  3. Step 3: Cross multiply
    30,181.32x = 45,206.46 × 18,459
  4. Step 4: Simplify right side
    30,181.32x = 834,466,045.14
  5. Step 5: Solve for x
    x = 834,466,045.14/30,181.32
  6. Step 6: Final answer
    x = 27,648.43

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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.