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Finding the Fourth Proportional to 49,617.88, 74,438.94 and 24,669.64

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Solution

The fourth proportional to 49,617.88, 74,438.94 and 24,669.64 is: 37,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,617.88 : 74,438.94 = 24,669.64 : x
  2. Step 2: Convert to fraction form
    49,617.88/74,438.94 = 24,669.64/x
  3. Step 3: Cross multiply
    49,617.88x = 74,438.94 × 24,669.64
  4. Step 4: Simplify right side
    49,617.88x = 1,836,381,851.78
  5. Step 5: Solve for x
    x = 1,836,381,851.78/49,617.88
  6. Step 6: Final answer
    x = 37,010.49

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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.