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Finding the Fourth Proportional to 29,662.50, 40,933.05 and 17,732.43

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Solution

The fourth proportional to 29,662.50, 40,933.05 and 17,732.43 is: 24,470.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,662.50 : 40,933.05 = 17,732.43 : x
  2. Step 2: Convert to fraction form
    29,662.50/40,933.05 = 17,732.43/x
  3. Step 3: Cross multiply
    29,662.50x = 40,933.05 × 17,732.43
  4. Step 4: Simplify right side
    29,662.50x = 725,842,443.81
  5. Step 5: Solve for x
    x = 725,842,443.81/29,662.50
  6. Step 6: Final answer
    x = 24,470.04

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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.