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Finding the Fourth Proportional to 58,329, 80,494.02 and 31,833

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Solution

The fourth proportional to 58,329, 80,494.02 and 31,833 is: 43,929.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,329 : 80,494.02 = 31,833 : x
  2. Step 2: Convert to fraction form
    58,329/80,494.02 = 31,833/x
  3. Step 3: Cross multiply
    58,329x = 80,494.02 × 31,833
  4. Step 4: Simplify right side
    58,329x = 2,562,366,138.66
  5. Step 5: Solve for x
    x = 2,562,366,138.66/58,329
  6. Step 6: Final answer
    x = 43,929.54

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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.