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Finding the Fourth Proportional to 76,590.54, 114,930.75 and 32,213.88

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Solution

The fourth proportional to 76,590.54, 114,930.75 and 32,213.88 is: 48,339.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,590.54 : 114,930.75 = 32,213.88 : x
  2. Step 2: Convert to fraction form
    76,590.54/114,930.75 = 32,213.88/x
  3. Step 3: Cross multiply
    76,590.54x = 114,930.75 × 32,213.88
  4. Step 4: Simplify right side
    76,590.54x = 3,702,365,388.81
  5. Step 5: Solve for x
    x = 3,702,365,388.81/76,590.54
  6. Step 6: Final answer
    x = 48,339.72

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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.