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Finding the Fourth Proportional to 89,507.57, 123,511.99 and 53,206.10

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Solution

The fourth proportional to 89,507.57, 123,511.99 and 53,206.10 is: 73,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,507.57 : 123,511.99 = 53,206.10 : x
  2. Step 2: Convert to fraction form
    89,507.57/123,511.99 = 53,206.10/x
  3. Step 3: Cross multiply
    89,507.57x = 123,511.99 × 53,206.10
  4. Step 4: Simplify right side
    89,507.57x = 6,571,591,103.50
  5. Step 5: Solve for x
    x = 6,571,591,103.50/89,507.57
  6. Step 6: Final answer
    x = 73,419.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.