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Finding the Fourth Proportional to 29,219.88, 40,323.78 and 15,971.88

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Solution

The fourth proportional to 29,219.88, 40,323.78 and 15,971.88 is: 22,041.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,219.88 : 40,323.78 = 15,971.88 : x
  2. Step 2: Convert to fraction form
    29,219.88/40,323.78 = 15,971.88/x
  3. Step 3: Cross multiply
    29,219.88x = 40,323.78 × 15,971.88
  4. Step 4: Simplify right side
    29,219.88x = 644,046,575.31
  5. Step 5: Solve for x
    x = 644,046,575.31/29,219.88
  6. Step 6: Final answer
    x = 22,041.38

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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.