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Finding the Fourth Proportional to 43,615, 60,188.70 and 23,743

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Solution

The fourth proportional to 43,615, 60,188.70 and 23,743 is: 32,765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,615 : 60,188.70 = 23,743 : x
  2. Step 2: Convert to fraction form
    43,615/60,188.70 = 23,743/x
  3. Step 3: Cross multiply
    43,615x = 60,188.70 × 23,743
  4. Step 4: Simplify right side
    43,615x = 1,429,060,304.10
  5. Step 5: Solve for x
    x = 1,429,060,304.10/43,615
  6. Step 6: Final answer
    x = 32,765.34

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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.