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Finding the Fourth Proportional to 58,005.36, 80,028.36 and 32,508

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Solution

The fourth proportional to 58,005.36, 80,028.36 and 32,508 is: 44,850.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,005.36 : 80,028.36 = 32,508 : x
  2. Step 2: Convert to fraction form
    58,005.36/80,028.36 = 32,508/x
  3. Step 3: Cross multiply
    58,005.36x = 80,028.36 × 32,508
  4. Step 4: Simplify right side
    58,005.36x = 2,601,561,926.88
  5. Step 5: Solve for x
    x = 2,601,561,926.88/58,005.36
  6. Step 6: Final answer
    x = 44,850.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.