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Finding the Fourth Proportional to 76,432.92, 114,650.74 and 26,514.64

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Solution

The fourth proportional to 76,432.92, 114,650.74 and 26,514.64 is: 39,772.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,432.92 : 114,650.74 = 26,514.64 : x
  2. Step 2: Convert to fraction form
    76,432.92/114,650.74 = 26,514.64/x
  3. Step 3: Cross multiply
    76,432.92x = 114,650.74 × 26,514.64
  4. Step 4: Simplify right side
    76,432.92x = 3,039,923,273.29
  5. Step 5: Solve for x
    x = 3,039,923,273.29/76,432.92
  6. Step 6: Final answer
    x = 39,772.44

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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.