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Finding the Fourth Proportional to 29,312.10, 40,469.04 and 22,584.96

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Solution

The fourth proportional to 29,312.10, 40,469.04 and 22,584.96 is: 31,181.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,312.10 : 40,469.04 = 22,584.96 : x
  2. Step 2: Convert to fraction form
    29,312.10/40,469.04 = 22,584.96/x
  3. Step 3: Cross multiply
    29,312.10x = 40,469.04 × 22,584.96
  4. Step 4: Simplify right side
    29,312.10x = 913,991,649.64
  5. Step 5: Solve for x
    x = 913,991,649.64/29,312.10
  6. Step 6: Final answer
    x = 31,181.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.