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Finding the Fourth Proportional to 38,997.47, 53,830.31 and 23,081.90

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Solution

The fourth proportional to 38,997.47, 53,830.31 and 23,081.90 is: 31,861.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,997.47 : 53,830.31 = 23,081.90 : x
  2. Step 2: Convert to fraction form
    38,997.47/53,830.31 = 23,081.90/x
  3. Step 3: Cross multiply
    38,997.47x = 53,830.31 × 23,081.90
  4. Step 4: Simplify right side
    38,997.47x = 1,242,505,447.83
  5. Step 5: Solve for x
    x = 1,242,505,447.83/38,997.47
  6. Step 6: Final answer
    x = 31,861.18

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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.