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Finding the Fourth Proportional to 65,349.57, 98,015.09 and 20,970.58

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Solution

The fourth proportional to 65,349.57, 98,015.09 and 20,970.58 is: 31,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,349.57 : 98,015.09 = 20,970.58 : x
  2. Step 2: Convert to fraction form
    65,349.57/98,015.09 = 20,970.58/x
  3. Step 3: Cross multiply
    65,349.57x = 98,015.09 × 20,970.58
  4. Step 4: Simplify right side
    65,349.57x = 2,055,433,286.05
  5. Step 5: Solve for x
    x = 2,055,433,286.05/65,349.57
  6. Step 6: Final answer
    x = 31,452.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.