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Finding the Fourth Proportional to 65,201.20, 97,840.20 and 23,642.80

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Solution

The fourth proportional to 65,201.20, 97,840.20 and 23,642.80 is: 35,478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,201.20 : 97,840.20 = 23,642.80 : x
  2. Step 2: Convert to fraction form
    65,201.20/97,840.20 = 23,642.80/x
  3. Step 3: Cross multiply
    65,201.20x = 97,840.20 × 23,642.80
  4. Step 4: Simplify right side
    65,201.20x = 2,313,216,280.56
  5. Step 5: Solve for x
    x = 2,313,216,280.56/65,201.20
  6. Step 6: Final answer
    x = 35,478.12

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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.