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Finding the Fourth Proportional to 57,980.16, 86,859.90 and 33,037.38

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Solution

The fourth proportional to 57,980.16, 86,859.90 and 33,037.38 is: 49,493.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,980.16 : 86,859.90 = 33,037.38 : x
  2. Step 2: Convert to fraction form
    57,980.16/86,859.90 = 33,037.38/x
  3. Step 3: Cross multiply
    57,980.16x = 86,859.90 × 33,037.38
  4. Step 4: Simplify right side
    57,980.16x = 2,869,623,523.06
  5. Step 5: Solve for x
    x = 2,869,623,523.06/57,980.16
  6. Step 6: Final answer
    x = 49,493.20

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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.