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Finding the Fourth Proportional to 89,043.81, 133,604.31 and 49,013.88

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Solution

The fourth proportional to 89,043.81, 133,604.31 and 49,013.88 is: 73,542.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,043.81 : 133,604.31 = 49,013.88 : x
  2. Step 2: Convert to fraction form
    89,043.81/133,604.31 = 49,013.88/x
  3. Step 3: Cross multiply
    89,043.81x = 133,604.31 × 49,013.88
  4. Step 4: Simplify right side
    89,043.81x = 6,548,465,617.82
  5. Step 5: Solve for x
    x = 6,548,465,617.82/89,043.81
  6. Step 6: Final answer
    x = 73,542.06

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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.