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Finding the Fourth Proportional to 29,433, 40,617.54 and 16,185

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Solution

The fourth proportional to 29,433, 40,617.54 and 16,185 is: 22,335.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,433 : 40,617.54 = 16,185 : x
  2. Step 2: Convert to fraction form
    29,433/40,617.54 = 16,185/x
  3. Step 3: Cross multiply
    29,433x = 40,617.54 × 16,185
  4. Step 4: Simplify right side
    29,433x = 657,394,884.90
  5. Step 5: Solve for x
    x = 657,394,884.90/29,433
  6. Step 6: Final answer
    x = 22,335.30

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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.