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Finding the Fourth Proportional to 66,849.76, 100,274.64 and 31,770.28

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Solution

The fourth proportional to 66,849.76, 100,274.64 and 31,770.28 is: 47,655.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,849.76 : 100,274.64 = 31,770.28 : x
  2. Step 2: Convert to fraction form
    66,849.76/100,274.64 = 31,770.28/x
  3. Step 3: Cross multiply
    66,849.76x = 100,274.64 × 31,770.28
  4. Step 4: Simplify right side
    66,849.76x = 3,185,753,389.70
  5. Step 5: Solve for x
    x = 3,185,753,389.70/66,849.76
  6. Step 6: Final answer
    x = 47,655.42

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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.