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Finding the Fourth Proportional to 31,754.25, 43,821.11 and 17,607.11

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Solution

The fourth proportional to 31,754.25, 43,821.11 and 17,607.11 is: 24,297.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,754.25 : 43,821.11 = 17,607.11 : x
  2. Step 2: Convert to fraction form
    31,754.25/43,821.11 = 17,607.11/x
  3. Step 3: Cross multiply
    31,754.25x = 43,821.11 × 17,607.11
  4. Step 4: Simplify right side
    31,754.25x = 771,562,929.00
  5. Step 5: Solve for x
    x = 771,562,929.00/31,754.25
  6. Step 6: Final answer
    x = 24,297.94

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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.