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Finding the Fourth Proportional to 29,538.97, 40,762.15 and 16,790.38

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Solution

The fourth proportional to 29,538.97, 40,762.15 and 16,790.38 is: 23,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,538.97 : 40,762.15 = 16,790.38 : x
  2. Step 2: Convert to fraction form
    29,538.97/40,762.15 = 16,790.38/x
  3. Step 3: Cross multiply
    29,538.97x = 40,762.15 × 16,790.38
  4. Step 4: Simplify right side
    29,538.97x = 684,412,053.33
  5. Step 5: Solve for x
    x = 684,412,053.33/29,538.97
  6. Step 6: Final answer
    x = 23,169.80

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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.