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Finding the Fourth Proportional to 54,406.08, 81,609.20 and 29,457.88

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Solution

The fourth proportional to 54,406.08, 81,609.20 and 29,457.88 is: 44,186.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,406.08 : 81,609.20 = 29,457.88 : x
  2. Step 2: Convert to fraction form
    54,406.08/81,609.20 = 29,457.88/x
  3. Step 3: Cross multiply
    54,406.08x = 81,609.20 × 29,457.88
  4. Step 4: Simplify right side
    54,406.08x = 2,404,034,020.50
  5. Step 5: Solve for x
    x = 2,404,034,020.50/54,406.08
  6. Step 6: Final answer
    x = 44,186.86

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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.