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Finding the Fourth Proportional to 89,474.10, 123,474.48 and 51,234.24

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Solution

The fourth proportional to 89,474.10, 123,474.48 and 51,234.24 is: 70,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,474.10 : 123,474.48 = 51,234.24 : x
  2. Step 2: Convert to fraction form
    89,474.10/123,474.48 = 51,234.24/x
  3. Step 3: Cross multiply
    89,474.10x = 123,474.48 × 51,234.24
  4. Step 4: Simplify right side
    89,474.10x = 6,326,121,142.20
  5. Step 5: Solve for x
    x = 6,326,121,142.20/89,474.10
  6. Step 6: Final answer
    x = 70,703.38

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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.