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Finding the Fourth Proportional to 54,963.70, 82,445.55 and 13,410.70

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Solution

The fourth proportional to 54,963.70, 82,445.55 and 13,410.70 is: 20,116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,963.70 : 82,445.55 = 13,410.70 : x
  2. Step 2: Convert to fraction form
    54,963.70/82,445.55 = 13,410.70/x
  3. Step 3: Cross multiply
    54,963.70x = 82,445.55 × 13,410.70
  4. Step 4: Simplify right side
    54,963.70x = 1,105,652,537.39
  5. Step 5: Solve for x
    x = 1,105,652,537.39/54,963.70
  6. Step 6: Final answer
    x = 20,116.05

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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.