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Finding the Fourth Proportional to 43,642.32, 65,463.48 and 20,256

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Solution

The fourth proportional to 43,642.32, 65,463.48 and 20,256 is: 30,384.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,642.32 : 65,463.48 = 20,256 : x
  2. Step 2: Convert to fraction form
    43,642.32/65,463.48 = 20,256/x
  3. Step 3: Cross multiply
    43,642.32x = 65,463.48 × 20,256
  4. Step 4: Simplify right side
    43,642.32x = 1,326,028,250.88
  5. Step 5: Solve for x
    x = 1,326,028,250.88/43,642.32
  6. Step 6: Final answer
    x = 30,384.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.