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Finding the Fourth Proportional to 53,584.57, 73,946.11 and 30,923.30

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Solution

The fourth proportional to 53,584.57, 73,946.11 and 30,923.30 is: 42,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,584.57 : 73,946.11 = 30,923.30 : x
  2. Step 2: Convert to fraction form
    53,584.57/73,946.11 = 30,923.30/x
  3. Step 3: Cross multiply
    53,584.57x = 73,946.11 × 30,923.30
  4. Step 4: Simplify right side
    53,584.57x = 2,286,657,743.36
  5. Step 5: Solve for x
    x = 2,286,657,743.36/53,584.57
  6. Step 6: Final answer
    x = 42,673.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.