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Finding the Fourth Proportional to 47,797.49, 65,960.12 and 26,576.57

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Solution

The fourth proportional to 47,797.49, 65,960.12 and 26,576.57 is: 36,675.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,797.49 : 65,960.12 = 26,576.57 : x
  2. Step 2: Convert to fraction form
    47,797.49/65,960.12 = 26,576.57/x
  3. Step 3: Cross multiply
    47,797.49x = 65,960.12 × 26,576.57
  4. Step 4: Simplify right side
    47,797.49x = 1,752,993,416.59
  5. Step 5: Solve for x
    x = 1,752,993,416.59/47,797.49
  6. Step 6: Final answer
    x = 36,675.43

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1.5x scale

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.