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Finding the Fourth Proportional to 89,596.80, 123,645.69 and 49,312.80

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Solution

The fourth proportional to 89,596.80, 123,645.69 and 49,312.80 is: 68,052.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,596.80 : 123,645.69 = 49,312.80 : x
  2. Step 2: Convert to fraction form
    89,596.80/123,645.69 = 49,312.80/x
  3. Step 3: Cross multiply
    89,596.80x = 123,645.69 × 49,312.80
  4. Step 4: Simplify right side
    89,596.80x = 6,097,315,181.83
  5. Step 5: Solve for x
    x = 6,097,315,181.83/89,596.80
  6. Step 6: Final answer
    x = 68,052.82

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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.