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Finding the Fourth Proportional to 37,739.08, 52,077.90 and 20,971

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Solution

The fourth proportional to 37,739.08, 52,077.90 and 20,971 is: 28,938.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,739.08 : 52,077.90 = 20,971 : x
  2. Step 2: Convert to fraction form
    37,739.08/52,077.90 = 20,971/x
  3. Step 3: Cross multiply
    37,739.08x = 52,077.90 × 20,971
  4. Step 4: Simplify right side
    37,739.08x = 1,092,125,640.90
  5. Step 5: Solve for x
    x = 1,092,125,640.90/37,739.08
  6. Step 6: Final answer
    x = 28,938.85

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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.