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Finding the Fourth Proportional to 65,349.09, 98,023.77 and 17,964.81

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Solution

The fourth proportional to 65,349.09, 98,023.77 and 17,964.81 is: 26,947.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,349.09 : 98,023.77 = 17,964.81 : x
  2. Step 2: Convert to fraction form
    65,349.09/98,023.77 = 17,964.81/x
  3. Step 3: Cross multiply
    65,349.09x = 98,023.77 × 17,964.81
  4. Step 4: Simplify right side
    65,349.09x = 1,760,978,403.53
  5. Step 5: Solve for x
    x = 1,760,978,403.53/65,349.09
  6. Step 6: Final answer
    x = 26,947.25

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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.