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Finding the Fourth Proportional to 89,308, 123,245.04 and 49,564

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Solution

The fourth proportional to 89,308, 123,245.04 and 49,564 is: 68,398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,308 : 123,245.04 = 49,564 : x
  2. Step 2: Convert to fraction form
    89,308/123,245.04 = 49,564/x
  3. Step 3: Cross multiply
    89,308x = 123,245.04 × 49,564
  4. Step 4: Simplify right side
    89,308x = 6,108,517,162.56
  5. Step 5: Solve for x
    x = 6,108,517,162.56/89,308
  6. Step 6: Final answer
    x = 68,398.32

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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.