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Finding the Fourth Proportional to 45,464.64, 62,744.32 and 27,561.44

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Solution

The fourth proportional to 45,464.64, 62,744.32 and 27,561.44 is: 38,036.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,464.64 : 62,744.32 = 27,561.44 : x
  2. Step 2: Convert to fraction form
    45,464.64/62,744.32 = 27,561.44/x
  3. Step 3: Cross multiply
    45,464.64x = 62,744.32 × 27,561.44
  4. Step 4: Simplify right side
    45,464.64x = 1,729,323,811.02
  5. Step 5: Solve for x
    x = 1,729,323,811.02/45,464.64
  6. Step 6: Final answer
    x = 38,036.68

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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.