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Finding the Fourth Proportional to 77,076.75, 115,615.17 and 21,672.75

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Solution

The fourth proportional to 77,076.75, 115,615.17 and 21,672.75 is: 32,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,076.75 : 115,615.17 = 21,672.75 : x
  2. Step 2: Convert to fraction form
    77,076.75/115,615.17 = 21,672.75/x
  3. Step 3: Cross multiply
    77,076.75x = 115,615.17 × 21,672.75
  4. Step 4: Simplify right side
    77,076.75x = 2,505,698,675.62
  5. Step 5: Solve for x
    x = 2,505,698,675.62/77,076.75
  6. Step 6: Final answer
    x = 32,509.14

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1.5x scale

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.