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Finding the Fourth Proportional to 105,649.50, 158,475.99 and 29,749.87

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Solution

The fourth proportional to 105,649.50, 158,475.99 and 29,749.87 is: 44,625.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,649.50 : 158,475.99 = 29,749.87 : x
  2. Step 2: Convert to fraction form
    105,649.50/158,475.99 = 29,749.87/x
  3. Step 3: Cross multiply
    105,649.50x = 158,475.99 × 29,749.87
  4. Step 4: Simplify right side
    105,649.50x = 4,714,639,790.38
  5. Step 5: Solve for x
    x = 4,714,639,790.38/105,649.50
  6. Step 6: Final answer
    x = 44,625.29

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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.