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Finding the Fourth Proportional to 74,505.28, 111,734.16 and 24,573.76

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Solution

The fourth proportional to 74,505.28, 111,734.16 and 24,573.76 is: 36,852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,505.28 : 111,734.16 = 24,573.76 : x
  2. Step 2: Convert to fraction form
    74,505.28/111,734.16 = 24,573.76/x
  3. Step 3: Cross multiply
    74,505.28x = 111,734.16 × 24,573.76
  4. Step 4: Simplify right side
    74,505.28x = 2,745,728,431.64
  5. Step 5: Solve for x
    x = 2,745,728,431.64/74,505.28
  6. Step 6: Final answer
    x = 36,852.80

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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.