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Finding the Fourth Proportional to 89,734, 123,835.48 and 49,992.56

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Solution

The fourth proportional to 89,734, 123,835.48 and 49,992.56 is: 68,991.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,734 : 123,835.48 = 49,992.56 : x
  2. Step 2: Convert to fraction form
    89,734/123,835.48 = 49,992.56/x
  3. Step 3: Cross multiply
    89,734x = 123,835.48 × 49,992.56
  4. Step 4: Simplify right side
    89,734x = 6,190,852,664.03
  5. Step 5: Solve for x
    x = 6,190,852,664.03/89,734
  6. Step 6: Final answer
    x = 68,991.16

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1.5x scale

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.