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Finding the Fourth Proportional to 54,999.10, 82,498.65 and 13,446.10

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Solution

The fourth proportional to 54,999.10, 82,498.65 and 13,446.10 is: 20,169.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,999.10 : 82,498.65 = 13,446.10 : x
  2. Step 2: Convert to fraction form
    54,999.10/82,498.65 = 13,446.10/x
  3. Step 3: Cross multiply
    54,999.10x = 82,498.65 × 13,446.10
  4. Step 4: Simplify right side
    54,999.10x = 1,109,285,097.77
  5. Step 5: Solve for x
    x = 1,109,285,097.77/54,999.10
  6. Step 6: Final answer
    x = 20,169.15

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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.