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Finding the Fourth Proportional to 29,538, 40,762.80 and 16,963.92

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Solution

The fourth proportional to 29,538, 40,762.80 and 16,963.92 is: 23,410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,538 : 40,762.80 = 16,963.92 : x
  2. Step 2: Convert to fraction form
    29,538/40,762.80 = 16,963.92/x
  3. Step 3: Cross multiply
    29,538x = 40,762.80 × 16,963.92
  4. Step 4: Simplify right side
    29,538x = 691,496,878.18
  5. Step 5: Solve for x
    x = 691,496,878.18/29,538
  6. Step 6: Final answer
    x = 23,410.42

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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.