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Finding the Fourth Proportional to 55,795.52, 83,693.28 and 20,744

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Solution

The fourth proportional to 55,795.52, 83,693.28 and 20,744 is: 31,116

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,795.52 : 83,693.28 = 20,744 : x
  2. Step 2: Convert to fraction form
    55,795.52/83,693.28 = 20,744/x
  3. Step 3: Cross multiply
    55,795.52x = 83,693.28 × 20,744
  4. Step 4: Simplify right side
    55,795.52x = 1,736,133,400.32
  5. Step 5: Solve for x
    x = 1,736,133,400.32/55,795.52
  6. Step 6: Final answer
    x = 31,116

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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.