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Finding the Fourth Proportional to 44,597.28, 61,544.94 and 24,456

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Solution

The fourth proportional to 44,597.28, 61,544.94 and 24,456 is: 33,749.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,597.28 : 61,544.94 = 24,456 : x
  2. Step 2: Convert to fraction form
    44,597.28/61,544.94 = 24,456/x
  3. Step 3: Cross multiply
    44,597.28x = 61,544.94 × 24,456
  4. Step 4: Simplify right side
    44,597.28x = 1,505,143,052.64
  5. Step 5: Solve for x
    x = 1,505,143,052.64/44,597.28
  6. Step 6: Final answer
    x = 33,749.66

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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.