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Finding the Fourth Proportional to 82,312.49, 123,469.19 and 23,148.67

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Solution

The fourth proportional to 82,312.49, 123,469.19 and 23,148.67 is: 34,723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,312.49 : 123,469.19 = 23,148.67 : x
  2. Step 2: Convert to fraction form
    82,312.49/123,469.19 = 23,148.67/x
  3. Step 3: Cross multiply
    82,312.49x = 123,469.19 × 23,148.67
  4. Step 4: Simplify right side
    82,312.49x = 2,858,147,534.48
  5. Step 5: Solve for x
    x = 2,858,147,534.48/82,312.49
  6. Step 6: Final answer
    x = 34,723.13

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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.