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Finding the Fourth Proportional to 29,540.50, 40,765.89 and 16,292.50

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Solution

The fourth proportional to 29,540.50, 40,765.89 and 16,292.50 is: 22,483.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,540.50 : 40,765.89 = 16,292.50 : x
  2. Step 2: Convert to fraction form
    29,540.50/40,765.89 = 16,292.50/x
  3. Step 3: Cross multiply
    29,540.50x = 40,765.89 × 16,292.50
  4. Step 4: Simplify right side
    29,540.50x = 664,178,262.83
  5. Step 5: Solve for x
    x = 664,178,262.83/29,540.50
  6. Step 6: Final answer
    x = 22,483.65

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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.