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Finding the Fourth Proportional to 72,992.80, 109,489.20 and 65,735.20

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Solution

The fourth proportional to 72,992.80, 109,489.20 and 65,735.20 is: 98,602.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,992.80 : 109,489.20 = 65,735.20 : x
  2. Step 2: Convert to fraction form
    72,992.80/109,489.20 = 65,735.20/x
  3. Step 3: Cross multiply
    72,992.80x = 109,489.20 × 65,735.20
  4. Step 4: Simplify right side
    72,992.80x = 7,197,294,459.84
  5. Step 5: Solve for x
    x = 7,197,294,459.84/72,992.80
  6. Step 6: Final answer
    x = 98,602.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.