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Finding the Fourth Proportional to 49,653.76, 74,493 and 14,593.42

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Solution

The fourth proportional to 49,653.76, 74,493 and 14,593.42 is: 21,893.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,653.76 : 74,493 = 14,593.42 : x
  2. Step 2: Convert to fraction form
    49,653.76/74,493 = 14,593.42/x
  3. Step 3: Cross multiply
    49,653.76x = 74,493 × 14,593.42
  4. Step 4: Simplify right side
    49,653.76x = 1,087,107,636.06
  5. Step 5: Solve for x
    x = 1,087,107,636.06/49,653.76
  6. Step 6: Final answer
    x = 21,893.76

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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.