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Finding the Fourth Proportional to 31,652.84, 43,686.98 and 18,233

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Solution

The fourth proportional to 31,652.84, 43,686.98 and 18,233 is: 25,165.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,652.84 : 43,686.98 = 18,233 : x
  2. Step 2: Convert to fraction form
    31,652.84/43,686.98 = 18,233/x
  3. Step 3: Cross multiply
    31,652.84x = 43,686.98 × 18,233
  4. Step 4: Simplify right side
    31,652.84x = 796,544,706.34
  5. Step 5: Solve for x
    x = 796,544,706.34/31,652.84
  6. Step 6: Final answer
    x = 25,165.03

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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.