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Finding the Fourth Proportional to 38,204.71, 52,720.13 and 21,207.94

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Solution

The fourth proportional to 38,204.71, 52,720.13 and 21,207.94 is: 29,265.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,204.71 : 52,720.13 = 21,207.94 : x
  2. Step 2: Convert to fraction form
    38,204.71/52,720.13 = 21,207.94/x
  3. Step 3: Cross multiply
    38,204.71x = 52,720.13 × 21,207.94
  4. Step 4: Simplify right side
    38,204.71x = 1,118,085,275.05
  5. Step 5: Solve for x
    x = 1,118,085,275.05/38,204.71
  6. Step 6: Final answer
    x = 29,265.64

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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.