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Finding the Fourth Proportional to 38,814, 53,571.96 and 24,664.08

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Solution

The fourth proportional to 38,814, 53,571.96 and 24,664.08 is: 34,041.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,814 : 53,571.96 = 24,664.08 : x
  2. Step 2: Convert to fraction form
    38,814/53,571.96 = 24,664.08/x
  3. Step 3: Cross multiply
    38,814x = 53,571.96 × 24,664.08
  4. Step 4: Simplify right side
    38,814x = 1,321,303,107.20
  5. Step 5: Solve for x
    x = 1,321,303,107.20/38,814
  6. Step 6: Final answer
    x = 34,041.92

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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.