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Finding the Fourth Proportional to 89,048, 122,886.24 and 49,304

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Solution

The fourth proportional to 89,048, 122,886.24 and 49,304 is: 68,039.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,048 : 122,886.24 = 49,304 : x
  2. Step 2: Convert to fraction form
    89,048/122,886.24 = 49,304/x
  3. Step 3: Cross multiply
    89,048x = 122,886.24 × 49,304
  4. Step 4: Simplify right side
    89,048x = 6,058,783,176.96
  5. Step 5: Solve for x
    x = 6,058,783,176.96/89,048
  6. Step 6: Final answer
    x = 68,039.52

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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.