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Finding the Fourth Proportional to 82,323.30, 123,448.50 and 29,733.24

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Solution

The fourth proportional to 82,323.30, 123,448.50 and 29,733.24 is: 44,586.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,323.30 : 123,448.50 = 29,733.24 : x
  2. Step 2: Convert to fraction form
    82,323.30/123,448.50 = 29,733.24/x
  3. Step 3: Cross multiply
    82,323.30x = 123,448.50 × 29,733.24
  4. Step 4: Simplify right side
    82,323.30x = 3,670,523,878.14
  5. Step 5: Solve for x
    x = 3,670,523,878.14/82,323.30
  6. Step 6: Final answer
    x = 44,586.70

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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.