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Finding the Fourth Proportional to 82,532.78, 123,807.36 and 29,946.36

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Solution

The fourth proportional to 82,532.78, 123,807.36 and 29,946.36 is: 44,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,532.78 : 123,807.36 = 29,946.36 : x
  2. Step 2: Convert to fraction form
    82,532.78/123,807.36 = 29,946.36/x
  3. Step 3: Cross multiply
    82,532.78x = 123,807.36 × 29,946.36
  4. Step 4: Simplify right side
    82,532.78x = 3,707,579,773.21
  5. Step 5: Solve for x
    x = 3,707,579,773.21/82,532.78
  6. Step 6: Final answer
    x = 44,922.51

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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.