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Finding the Fourth Proportional to 65,778.66, 98,643.50 and 23,647.24

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Solution

The fourth proportional to 65,778.66, 98,643.50 and 23,647.24 is: 35,462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,778.66 : 98,643.50 = 23,647.24 : x
  2. Step 2: Convert to fraction form
    65,778.66/98,643.50 = 23,647.24/x
  3. Step 3: Cross multiply
    65,778.66x = 98,643.50 × 23,647.24
  4. Step 4: Simplify right side
    65,778.66x = 2,332,646,546.18
  5. Step 5: Solve for x
    x = 2,332,646,546.18/65,778.66
  6. Step 6: Final answer
    x = 35,462.06

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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.