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Finding the Fourth Proportional to 36,988, 51,044.25 and 20,221

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Solution

The fourth proportional to 36,988, 51,044.25 and 20,221 is: 27,905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,988 : 51,044.25 = 20,221 : x
  2. Step 2: Convert to fraction form
    36,988/51,044.25 = 20,221/x
  3. Step 3: Cross multiply
    36,988x = 51,044.25 × 20,221
  4. Step 4: Simplify right side
    36,988x = 1,032,165,779.25
  5. Step 5: Solve for x
    x = 1,032,165,779.25/36,988
  6. Step 6: Final answer
    x = 27,905.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.