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Finding the Fourth Proportional to 29,538.50, 40,763.13 and 16,290.50

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Solution

The fourth proportional to 29,538.50, 40,763.13 and 16,290.50 is: 22,480.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,538.50 : 40,763.13 = 16,290.50 : x
  2. Step 2: Convert to fraction form
    29,538.50/40,763.13 = 16,290.50/x
  3. Step 3: Cross multiply
    29,538.50x = 40,763.13 × 16,290.50
  4. Step 4: Simplify right side
    29,538.50x = 664,051,769.27
  5. Step 5: Solve for x
    x = 664,051,769.27/29,538.50
  6. Step 6: Final answer
    x = 22,480.89

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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.