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Finding the Fourth Proportional to 31,043.12, 42,837 and 21,632

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Solution

The fourth proportional to 31,043.12, 42,837 and 21,632 is: 29,850.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,043.12 : 42,837 = 21,632 : x
  2. Step 2: Convert to fraction form
    31,043.12/42,837 = 21,632/x
  3. Step 3: Cross multiply
    31,043.12x = 42,837 × 21,632
  4. Step 4: Simplify right side
    31,043.12x = 926,649,984
  5. Step 5: Solve for x
    x = 926,649,984/31,043.12
  6. Step 6: Final answer
    x = 29,850.41

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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.