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Finding the Fourth Proportional to 47,335.96, 65,321.34 and 25,824.43

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Solution

The fourth proportional to 47,335.96, 65,321.34 and 25,824.43 is: 35,636.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,335.96 : 65,321.34 = 25,824.43 : x
  2. Step 2: Convert to fraction form
    47,335.96/65,321.34 = 25,824.43/x
  3. Step 3: Cross multiply
    47,335.96x = 65,321.34 × 25,824.43
  4. Step 4: Simplify right side
    47,335.96x = 1,686,886,372.34
  5. Step 5: Solve for x
    x = 1,686,886,372.34/47,335.96
  6. Step 6: Final answer
    x = 35,636.47

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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.