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Finding the Fourth Proportional to 29,171.34, 40,213.38 and 20,646.96

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Solution

The fourth proportional to 29,171.34, 40,213.38 and 20,646.96 is: 28,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,171.34 : 40,213.38 = 20,646.96 : x
  2. Step 2: Convert to fraction form
    29,171.34/40,213.38 = 20,646.96/x
  3. Step 3: Cross multiply
    29,171.34x = 40,213.38 × 20,646.96
  4. Step 4: Simplify right side
    29,171.34x = 830,284,048.32
  5. Step 5: Solve for x
    x = 830,284,048.32/29,171.34
  6. Step 6: Final answer
    x = 28,462.32

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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.