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Finding the Fourth Proportional to 55,383, 83,109.06 and 22,551

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Solution

The fourth proportional to 55,383, 83,109.06 and 22,551 is: 33,840.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,383 : 83,109.06 = 22,551 : x
  2. Step 2: Convert to fraction form
    55,383/83,109.06 = 22,551/x
  3. Step 3: Cross multiply
    55,383x = 83,109.06 × 22,551
  4. Step 4: Simplify right side
    55,383x = 1,874,192,412.06
  5. Step 5: Solve for x
    x = 1,874,192,412.06/55,383
  6. Step 6: Final answer
    x = 33,840.57

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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.