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Finding the Fourth Proportional to 31,682.54, 43,720.53 and 17,534.54

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Solution

The fourth proportional to 31,682.54, 43,720.53 and 17,534.54 is: 24,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,682.54 : 43,720.53 = 17,534.54 : x
  2. Step 2: Convert to fraction form
    31,682.54/43,720.53 = 17,534.54/x
  3. Step 3: Cross multiply
    31,682.54x = 43,720.53 × 17,534.54
  4. Step 4: Simplify right side
    31,682.54x = 766,619,382.11
  5. Step 5: Solve for x
    x = 766,619,382.11/31,682.54
  6. Step 6: Final answer
    x = 24,196.90

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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.