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Finding the Fourth Proportional to 29,524, 40,743.12 and 16,276

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Solution

The fourth proportional to 29,524, 40,743.12 and 16,276 is: 22,460.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,524 : 40,743.12 = 16,276 : x
  2. Step 2: Convert to fraction form
    29,524/40,743.12 = 16,276/x
  3. Step 3: Cross multiply
    29,524x = 40,743.12 × 16,276
  4. Step 4: Simplify right side
    29,524x = 663,135,021.12
  5. Step 5: Solve for x
    x = 663,135,021.12/29,524
  6. Step 6: Final answer
    x = 22,460.88

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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.