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Finding the Fourth Proportional to 76,481.99, 114,722.52 and 29,734.86

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Solution

The fourth proportional to 76,481.99, 114,722.52 and 29,734.86 is: 44,602.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,481.99 : 114,722.52 = 29,734.86 : x
  2. Step 2: Convert to fraction form
    76,481.99/114,722.52 = 29,734.86/x
  3. Step 3: Cross multiply
    76,481.99x = 114,722.52 × 29,734.86
  4. Step 4: Simplify right side
    76,481.99x = 3,411,258,071.05
  5. Step 5: Solve for x
    x = 3,411,258,071.05/76,481.99
  6. Step 6: Final answer
    x = 44,602.11

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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.