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Finding the Fourth Proportional to 54,457.30, 81,571.13 and 24,900

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Solution

The fourth proportional to 54,457.30, 81,571.13 and 24,900 is: 37,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,457.30 : 81,571.13 = 24,900 : x
  2. Step 2: Convert to fraction form
    54,457.30/81,571.13 = 24,900/x
  3. Step 3: Cross multiply
    54,457.30x = 81,571.13 × 24,900
  4. Step 4: Simplify right side
    54,457.30x = 2,031,121,137
  5. Step 5: Solve for x
    x = 2,031,121,137/54,457.30
  6. Step 6: Final answer
    x = 37,297.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.