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Finding the Fourth Proportional to 89,285.16, 123,217.38 and 53,481

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Solution

The fourth proportional to 89,285.16, 123,217.38 and 53,481 is: 73,806.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,285.16 : 123,217.38 = 53,481 : x
  2. Step 2: Convert to fraction form
    89,285.16/123,217.38 = 53,481/x
  3. Step 3: Cross multiply
    89,285.16x = 123,217.38 × 53,481
  4. Step 4: Simplify right side
    89,285.16x = 6,589,788,699.78
  5. Step 5: Solve for x
    x = 6,589,788,699.78/89,285.16
  6. Step 6: Final answer
    x = 73,806.09

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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.