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Finding the Fourth Proportional to 89,754.41, 123,857.10 and 51,487.38

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Solution

The fourth proportional to 89,754.41, 123,857.10 and 51,487.38 is: 71,050.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,754.41 : 123,857.10 = 51,487.38 : x
  2. Step 2: Convert to fraction form
    89,754.41/123,857.10 = 51,487.38/x
  3. Step 3: Cross multiply
    89,754.41x = 123,857.10 × 51,487.38
  4. Step 4: Simplify right side
    89,754.41x = 6,377,077,573.40
  5. Step 5: Solve for x
    x = 6,377,077,573.40/89,754.41
  6. Step 6: Final answer
    x = 71,050.30

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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.