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Finding the Fourth Proportional to 36,047.70, 54,062.82 and 9,752.58

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Solution

The fourth proportional to 36,047.70, 54,062.82 and 9,752.58 is: 14,626.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,047.70 : 54,062.82 = 9,752.58 : x
  2. Step 2: Convert to fraction form
    36,047.70/54,062.82 = 9,752.58/x
  3. Step 3: Cross multiply
    36,047.70x = 54,062.82 × 9,752.58
  4. Step 4: Simplify right side
    36,047.70x = 527,251,977.08
  5. Step 5: Solve for x
    x = 527,251,977.08/36,047.70
  6. Step 6: Final answer
    x = 14,626.51

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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.