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Finding the Fourth Proportional to 44,912.64, 61,978 and 24,770.36

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Solution

The fourth proportional to 44,912.64, 61,978 and 24,770.36 is: 34,182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,912.64 : 61,978 = 24,770.36 : x
  2. Step 2: Convert to fraction form
    44,912.64/61,978 = 24,770.36/x
  3. Step 3: Cross multiply
    44,912.64x = 61,978 × 24,770.36
  4. Step 4: Simplify right side
    44,912.64x = 1,535,217,372.08
  5. Step 5: Solve for x
    x = 1,535,217,372.08/44,912.64
  6. Step 6: Final answer
    x = 34,182.30

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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.