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Finding the Fourth Proportional to 102,919.48, 154,379.22 and 29,047.48

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Solution

The fourth proportional to 102,919.48, 154,379.22 and 29,047.48 is: 43,571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,919.48 : 154,379.22 = 29,047.48 : x
  2. Step 2: Convert to fraction form
    102,919.48/154,379.22 = 29,047.48/x
  3. Step 3: Cross multiply
    102,919.48x = 154,379.22 × 29,047.48
  4. Step 4: Simplify right side
    102,919.48x = 4,484,327,305.37
  5. Step 5: Solve for x
    x = 4,484,327,305.37/102,919.48
  6. Step 6: Final answer
    x = 43,571.22

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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.