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Finding the Fourth Proportional to 85,160.82, 127,756.26 and 35,212.95

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Solution

The fourth proportional to 85,160.82, 127,756.26 and 35,212.95 is: 52,825.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,160.82 : 127,756.26 = 35,212.95 : x
  2. Step 2: Convert to fraction form
    85,160.82/127,756.26 = 35,212.95/x
  3. Step 3: Cross multiply
    85,160.82x = 127,756.26 × 35,212.95
  4. Step 4: Simplify right side
    85,160.82x = 4,498,674,795.57
  5. Step 5: Solve for x
    x = 4,498,674,795.57/85,160.82
  6. Step 6: Final answer
    x = 52,825.64

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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.