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Finding the Fourth Proportional to 43,649.14, 65,506.32 and 29,575.80

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Solution

The fourth proportional to 43,649.14, 65,506.32 and 29,575.80 is: 44,385.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,649.14 : 65,506.32 = 29,575.80 : x
  2. Step 2: Convert to fraction form
    43,649.14/65,506.32 = 29,575.80/x
  3. Step 3: Cross multiply
    43,649.14x = 65,506.32 × 29,575.80
  4. Step 4: Simplify right side
    43,649.14x = 1,937,401,343.65
  5. Step 5: Solve for x
    x = 1,937,401,343.65/43,649.14
  6. Step 6: Final answer
    x = 44,385.79

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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.