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Finding the Fourth Proportional to 57,973.84, 86,978.10 and 33,332.56

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Solution

The fourth proportional to 57,973.84, 86,978.10 and 33,332.56 is: 50,008.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,973.84 : 86,978.10 = 33,332.56 : x
  2. Step 2: Convert to fraction form
    57,973.84/86,978.10 = 33,332.56/x
  3. Step 3: Cross multiply
    57,973.84x = 86,978.10 × 33,332.56
  4. Step 4: Simplify right side
    57,973.84x = 2,899,202,736.94
  5. Step 5: Solve for x
    x = 2,899,202,736.94/57,973.84
  6. Step 6: Final answer
    x = 50,008.81

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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.