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Finding the Fourth Proportional to 38,941.24, 53,704.02 and 32,966.68

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Solution

The fourth proportional to 38,941.24, 53,704.02 and 32,966.68 is: 45,464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,941.24 : 53,704.02 = 32,966.68 : x
  2. Step 2: Convert to fraction form
    38,941.24/53,704.02 = 32,966.68/x
  3. Step 3: Cross multiply
    38,941.24x = 53,704.02 × 32,966.68
  4. Step 4: Simplify right side
    38,941.24x = 1,770,443,242.05
  5. Step 5: Solve for x
    x = 1,770,443,242.05/38,941.24
  6. Step 6: Final answer
    x = 45,464.48

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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.