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Finding the Fourth Proportional to 82,576.16, 123,864.24 and 35,828

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Solution

The fourth proportional to 82,576.16, 123,864.24 and 35,828 is: 53,742

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,576.16 : 123,864.24 = 35,828 : x
  2. Step 2: Convert to fraction form
    82,576.16/123,864.24 = 35,828/x
  3. Step 3: Cross multiply
    82,576.16x = 123,864.24 × 35,828
  4. Step 4: Simplify right side
    82,576.16x = 4,437,807,990.72
  5. Step 5: Solve for x
    x = 4,437,807,990.72/82,576.16
  6. Step 6: Final answer
    x = 53,742

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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.