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Finding the Fourth Proportional to 38,102.97, 52,582.09 and 21,108.31

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Solution

The fourth proportional to 38,102.97, 52,582.09 and 21,108.31 is: 29,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.97 : 52,582.09 = 21,108.31 : x
  2. Step 2: Convert to fraction form
    38,102.97/52,582.09 = 21,108.31/x
  3. Step 3: Cross multiply
    38,102.97x = 52,582.09 × 21,108.31
  4. Step 4: Simplify right side
    38,102.97x = 1,109,919,056.17
  5. Step 5: Solve for x
    x = 1,109,919,056.17/38,102.97
  6. Step 6: Final answer
    x = 29,129.46

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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.