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Finding the Fourth Proportional to 29,221, 40,324.98 and 15,973

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Solution

The fourth proportional to 29,221, 40,324.98 and 15,973 is: 22,042.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,221 : 40,324.98 = 15,973 : x
  2. Step 2: Convert to fraction form
    29,221/40,324.98 = 15,973/x
  3. Step 3: Cross multiply
    29,221x = 40,324.98 × 15,973
  4. Step 4: Simplify right side
    29,221x = 644,110,905.54
  5. Step 5: Solve for x
    x = 644,110,905.54/29,221
  6. Step 6: Final answer
    x = 22,042.74

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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.