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Finding the Fourth Proportional to 62,471.68, 86,209.44 and 34,177.60

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Solution

The fourth proportional to 62,471.68, 86,209.44 and 34,177.60 is: 47,164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,471.68 : 86,209.44 = 34,177.60 : x
  2. Step 2: Convert to fraction form
    62,471.68/86,209.44 = 34,177.60/x
  3. Step 3: Cross multiply
    62,471.68x = 86,209.44 × 34,177.60
  4. Step 4: Simplify right side
    62,471.68x = 2,946,431,756.54
  5. Step 5: Solve for x
    x = 2,946,431,756.54/62,471.68
  6. Step 6: Final answer
    x = 47,164.28

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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.