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Finding the Fourth Proportional to 41,315.72, 56,997.36 and 24,539

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Solution

The fourth proportional to 41,315.72, 56,997.36 and 24,539 is: 33,852.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,315.72 : 56,997.36 = 24,539 : x
  2. Step 2: Convert to fraction form
    41,315.72/56,997.36 = 24,539/x
  3. Step 3: Cross multiply
    41,315.72x = 56,997.36 × 24,539
  4. Step 4: Simplify right side
    41,315.72x = 1,398,658,217.04
  5. Step 5: Solve for x
    x = 1,398,658,217.04/41,315.72
  6. Step 6: Final answer
    x = 33,852.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.