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Finding the Fourth Proportional to 29,567.19, 44,359.29 and 17,096.16

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Solution

The fourth proportional to 29,567.19, 44,359.29 and 17,096.16 is: 25,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,567.19 : 44,359.29 = 17,096.16 : x
  2. Step 2: Convert to fraction form
    29,567.19/44,359.29 = 17,096.16/x
  3. Step 3: Cross multiply
    29,567.19x = 44,359.29 × 17,096.16
  4. Step 4: Simplify right side
    29,567.19x = 758,373,519.33
  5. Step 5: Solve for x
    x = 758,373,519.33/29,567.19
  6. Step 6: Final answer
    x = 25,649.16

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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.