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Finding the Fourth Proportional to 82,430, 123,451.24 and 40,177.67

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Solution

The fourth proportional to 82,430, 123,451.24 and 40,177.67 is: 60,172.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,430 : 123,451.24 = 40,177.67 : x
  2. Step 2: Convert to fraction form
    82,430/123,451.24 = 40,177.67/x
  3. Step 3: Cross multiply
    82,430x = 123,451.24 × 40,177.67
  4. Step 4: Simplify right side
    82,430x = 4,959,983,181.81
  5. Step 5: Solve for x
    x = 4,959,983,181.81/82,430
  6. Step 6: Final answer
    x = 60,172.06

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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.