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Finding the Fourth Proportional to 47,206.34, 65,150.97 and 28,344.68

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Solution

The fourth proportional to 47,206.34, 65,150.97 and 28,344.68 is: 39,119.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,206.34 : 65,150.97 = 28,344.68 : x
  2. Step 2: Convert to fraction form
    47,206.34/65,150.97 = 28,344.68/x
  3. Step 3: Cross multiply
    47,206.34x = 65,150.97 × 28,344.68
  4. Step 4: Simplify right side
    47,206.34x = 1,846,683,396.34
  5. Step 5: Solve for x
    x = 1,846,683,396.34/47,206.34
  6. Step 6: Final answer
    x = 39,119.39

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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.