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Finding the Fourth Proportional to 31,427.29, 43,347.04 and 21,338.22

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Solution

The fourth proportional to 31,427.29, 43,347.04 and 21,338.22 is: 29,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,427.29 : 43,347.04 = 21,338.22 : x
  2. Step 2: Convert to fraction form
    31,427.29/43,347.04 = 21,338.22/x
  3. Step 3: Cross multiply
    31,427.29x = 43,347.04 × 21,338.22
  4. Step 4: Simplify right side
    31,427.29x = 924,948,675.87
  5. Step 5: Solve for x
    x = 924,948,675.87/31,427.29
  6. Step 6: Final answer
    x = 29,431.39

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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.