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Finding the Fourth Proportional to 82,303.36, 123,462.33 and 23,139.54

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Solution

The fourth proportional to 82,303.36, 123,462.33 and 23,139.54 is: 34,711.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,303.36 : 123,462.33 = 23,139.54 : x
  2. Step 2: Convert to fraction form
    82,303.36/123,462.33 = 23,139.54/x
  3. Step 3: Cross multiply
    82,303.36x = 123,462.33 × 23,139.54
  4. Step 4: Simplify right side
    82,303.36x = 2,856,861,436.75
  5. Step 5: Solve for x
    x = 2,856,861,436.75/82,303.36
  6. Step 6: Final answer
    x = 34,711.36

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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.