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Finding the Fourth Proportional to 82,231.84, 123,396.96 and 35,484.72

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Solution

The fourth proportional to 82,231.84, 123,396.96 and 35,484.72 is: 53,248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,231.84 : 123,396.96 = 35,484.72 : x
  2. Step 2: Convert to fraction form
    82,231.84/123,396.96 = 35,484.72/x
  3. Step 3: Cross multiply
    82,231.84x = 123,396.96 × 35,484.72
  4. Step 4: Simplify right side
    82,231.84x = 4,378,706,574.45
  5. Step 5: Solve for x
    x = 4,378,706,574.45/82,231.84
  6. Step 6: Final answer
    x = 53,248.31

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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.