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Finding the Fourth Proportional to 72,744, 109,141.60 and 35,833.92

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Solution

The fourth proportional to 72,744, 109,141.60 and 35,833.92 is: 53,763.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,744 : 109,141.60 = 35,833.92 : x
  2. Step 2: Convert to fraction form
    72,744/109,141.60 = 35,833.92/x
  3. Step 3: Cross multiply
    72,744x = 109,141.60 × 35,833.92
  4. Step 4: Simplify right side
    72,744x = 3,910,971,363.07
  5. Step 5: Solve for x
    x = 3,910,971,363.07/72,744
  6. Step 6: Final answer
    x = 53,763.49

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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.