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Finding the Fourth Proportional to 66,709.50, 92,059.14 and 41,559

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Solution

The fourth proportional to 66,709.50, 92,059.14 and 41,559 is: 57,351.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,709.50 : 92,059.14 = 41,559 : x
  2. Step 2: Convert to fraction form
    66,709.50/92,059.14 = 41,559/x
  3. Step 3: Cross multiply
    66,709.50x = 92,059.14 × 41,559
  4. Step 4: Simplify right side
    66,709.50x = 3,825,885,799.26
  5. Step 5: Solve for x
    x = 3,825,885,799.26/66,709.50
  6. Step 6: Final answer
    x = 57,351.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.