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Finding the Fourth Proportional to 67,849.96, 101,784.18 and 23,464.80

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Solution

The fourth proportional to 67,849.96, 101,784.18 and 23,464.80 is: 35,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,849.96 : 101,784.18 = 23,464.80 : x
  2. Step 2: Convert to fraction form
    67,849.96/101,784.18 = 23,464.80/x
  3. Step 3: Cross multiply
    67,849.96x = 101,784.18 × 23,464.80
  4. Step 4: Simplify right side
    67,849.96x = 2,388,345,426.86
  5. Step 5: Solve for x
    x = 2,388,345,426.86/67,849.96
  6. Step 6: Final answer
    x = 35,200.40

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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.