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Finding the Fourth Proportional to 82,416.24, 123,318 and 49,154.40

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Solution

The fourth proportional to 82,416.24, 123,318 and 49,154.40 is: 73,548.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,416.24 : 123,318 = 49,154.40 : x
  2. Step 2: Convert to fraction form
    82,416.24/123,318 = 49,154.40/x
  3. Step 3: Cross multiply
    82,416.24x = 123,318 × 49,154.40
  4. Step 4: Simplify right side
    82,416.24x = 6,061,622,299.20
  5. Step 5: Solve for x
    x = 6,061,622,299.20/82,416.24
  6. Step 6: Final answer
    x = 73,548.88

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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.