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Finding the Fourth Proportional to 82,532.76, 123,807.34 and 29,946.34

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Solution

The fourth proportional to 82,532.76, 123,807.34 and 29,946.34 is: 44,922.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,532.76 : 123,807.34 = 29,946.34 : x
  2. Step 2: Convert to fraction form
    82,532.76/123,807.34 = 29,946.34/x
  3. Step 3: Cross multiply
    82,532.76x = 123,807.34 × 29,946.34
  4. Step 4: Simplify right side
    82,532.76x = 3,707,576,698.14
  5. Step 5: Solve for x
    x = 3,707,576,698.14/82,532.76
  6. Step 6: Final answer
    x = 44,922.49

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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.