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Finding the Fourth Proportional to 38,204.68, 52,721.60 and 21,207.92

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Solution

The fourth proportional to 38,204.68, 52,721.60 and 21,207.92 is: 29,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,204.68 : 52,721.60 = 21,207.92 : x
  2. Step 2: Convert to fraction form
    38,204.68/52,721.60 = 21,207.92/x
  3. Step 3: Cross multiply
    38,204.68x = 52,721.60 × 21,207.92
  4. Step 4: Simplify right side
    38,204.68x = 1,118,115,475.07
  5. Step 5: Solve for x
    x = 1,118,115,475.07/38,204.68
  6. Step 6: Final answer
    x = 29,266.45

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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.