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Finding the Fourth Proportional to 103,232.45, 154,834.09 and 33,102.65

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Solution

The fourth proportional to 103,232.45, 154,834.09 and 33,102.65 is: 49,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,232.45 : 154,834.09 = 33,102.65 : x
  2. Step 2: Convert to fraction form
    103,232.45/154,834.09 = 33,102.65/x
  3. Step 3: Cross multiply
    103,232.45x = 154,834.09 × 33,102.65
  4. Step 4: Simplify right side
    103,232.45x = 5,125,417,832.41
  5. Step 5: Solve for x
    x = 5,125,417,832.41/103,232.45
  6. Step 6: Final answer
    x = 49,649.29

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