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Finding the Fourth Proportional to 38,294.16, 52,846.76 and 21,527.44

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Solution

The fourth proportional to 38,294.16, 52,846.76 and 21,527.44 is: 29,708.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,294.16 : 52,846.76 = 21,527.44 : x
  2. Step 2: Convert to fraction form
    38,294.16/52,846.76 = 21,527.44/x
  3. Step 3: Cross multiply
    38,294.16x = 52,846.76 × 21,527.44
  4. Step 4: Simplify right side
    38,294.16x = 1,137,655,455.09
  5. Step 5: Solve for x
    x = 1,137,655,455.09/38,294.16
  6. Step 6: Final answer
    x = 29,708.33

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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.