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Finding the Fourth Proportional to 57,882.84, 86,824.44 and 16,329.84

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Solution

The fourth proportional to 57,882.84, 86,824.44 and 16,329.84 is: 24,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,882.84 : 86,824.44 = 16,329.84 : x
  2. Step 2: Convert to fraction form
    57,882.84/86,824.44 = 16,329.84/x
  3. Step 3: Cross multiply
    57,882.84x = 86,824.44 × 16,329.84
  4. Step 4: Simplify right side
    57,882.84x = 1,417,829,213.29
  5. Step 5: Solve for x
    x = 1,417,829,213.29/57,882.84
  6. Step 6: Final answer
    x = 24,494.81

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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.