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Finding the Fourth Proportional to 36,553.14, 54,826.02 and 24,782.49

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Solution

The fourth proportional to 36,553.14, 54,826.02 and 24,782.49 is: 37,171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,553.14 : 54,826.02 = 24,782.49 : x
  2. Step 2: Convert to fraction form
    36,553.14/54,826.02 = 24,782.49/x
  3. Step 3: Cross multiply
    36,553.14x = 54,826.02 × 24,782.49
  4. Step 4: Simplify right side
    36,553.14x = 1,358,725,292.39
  5. Step 5: Solve for x
    x = 1,358,725,292.39/36,553.14
  6. Step 6: Final answer
    x = 37,171.23

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1.5x scale

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.