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Finding the Fourth Proportional to 68,529.96, 102,649.23 and 32,939.01

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Solution

The fourth proportional to 68,529.96, 102,649.23 and 32,939.01 is: 49,338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,529.96 : 102,649.23 = 32,939.01 : x
  2. Step 2: Convert to fraction form
    68,529.96/102,649.23 = 32,939.01/x
  3. Step 3: Cross multiply
    68,529.96x = 102,649.23 × 32,939.01
  4. Step 4: Simplify right side
    68,529.96x = 3,381,164,013.46
  5. Step 5: Solve for x
    x = 3,381,164,013.46/68,529.96
  6. Step 6: Final answer
    x = 49,338.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.