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Finding the Fourth Proportional to 51,100.97, 76,655.30 and 13,660.22

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Solution

The fourth proportional to 51,100.97, 76,655.30 and 13,660.22 is: 20,491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,100.97 : 76,655.30 = 13,660.22 : x
  2. Step 2: Convert to fraction form
    51,100.97/76,655.30 = 13,660.22/x
  3. Step 3: Cross multiply
    51,100.97x = 76,655.30 × 13,660.22
  4. Step 4: Simplify right side
    51,100.97x = 1,047,128,385.50
  5. Step 5: Solve for x
    x = 1,047,128,385.50/51,100.97
  6. Step 6: Final answer
    x = 20,491.36

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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.