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Finding the Fourth Proportional to 54,682.75, 82,024.13 and 17,746.75

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Solution

The fourth proportional to 54,682.75, 82,024.13 and 17,746.75 is: 26,620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,682.75 : 82,024.13 = 17,746.75 : x
  2. Step 2: Convert to fraction form
    54,682.75/82,024.13 = 17,746.75/x
  3. Step 3: Cross multiply
    54,682.75x = 82,024.13 × 17,746.75
  4. Step 4: Simplify right side
    54,682.75x = 1,455,661,729.08
  5. Step 5: Solve for x
    x = 1,455,661,729.08/54,682.75
  6. Step 6: Final answer
    x = 26,620.13

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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.