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Finding the Fourth Proportional to 76,874.37, 115,316.42 and 32,495.28

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Solution

The fourth proportional to 76,874.37, 115,316.42 and 32,495.28 is: 48,744.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,874.37 : 115,316.42 = 32,495.28 : x
  2. Step 2: Convert to fraction form
    76,874.37/115,316.42 = 32,495.28/x
  3. Step 3: Cross multiply
    76,874.37x = 115,316.42 × 32,495.28
  4. Step 4: Simplify right side
    76,874.37x = 3,747,239,194.02
  5. Step 5: Solve for x
    x = 3,747,239,194.02/76,874.37
  6. Step 6: Final answer
    x = 48,744.97

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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.