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Finding the Fourth Proportional to 29,354.40, 40,512.96 and 19,926

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Solution

The fourth proportional to 29,354.40, 40,512.96 and 19,926 is: 27,500.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,354.40 : 40,512.96 = 19,926 : x
  2. Step 2: Convert to fraction form
    29,354.40/40,512.96 = 19,926/x
  3. Step 3: Cross multiply
    29,354.40x = 40,512.96 × 19,926
  4. Step 4: Simplify right side
    29,354.40x = 807,261,240.96
  5. Step 5: Solve for x
    x = 807,261,240.96/29,354.40
  6. Step 6: Final answer
    x = 27,500.52

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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.