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Finding the Fourth Proportional to 54,784.98, 82,263.87 and 34,100.82

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Solution

The fourth proportional to 54,784.98, 82,263.87 and 34,100.82 is: 51,205.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,784.98 : 82,263.87 = 34,100.82 : x
  2. Step 2: Convert to fraction form
    54,784.98/82,263.87 = 34,100.82/x
  3. Step 3: Cross multiply
    54,784.98x = 82,263.87 × 34,100.82
  4. Step 4: Simplify right side
    54,784.98x = 2,805,265,423.37
  5. Step 5: Solve for x
    x = 2,805,265,423.37/54,784.98
  6. Step 6: Final answer
    x = 51,205.01

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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.