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Finding the Fourth Proportional to 76,014.20, 114,021.30 and 65,646.20

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Solution

The fourth proportional to 76,014.20, 114,021.30 and 65,646.20 is: 98,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,014.20 : 114,021.30 = 65,646.20 : x
  2. Step 2: Convert to fraction form
    76,014.20/114,021.30 = 65,646.20/x
  3. Step 3: Cross multiply
    76,014.20x = 114,021.30 × 65,646.20
  4. Step 4: Simplify right side
    76,014.20x = 7,485,065,064.06
  5. Step 5: Solve for x
    x = 7,485,065,064.06/76,014.20
  6. Step 6: Final answer
    x = 98,469.30

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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.