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Finding the Fourth Proportional to 53,453.25, 73,758.20 and 30,783.78

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Solution

The fourth proportional to 53,453.25, 73,758.20 and 30,783.78 is: 42,477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,453.25 : 73,758.20 = 30,783.78 : x
  2. Step 2: Convert to fraction form
    53,453.25/73,758.20 = 30,783.78/x
  3. Step 3: Cross multiply
    53,453.25x = 73,758.20 × 30,783.78
  4. Step 4: Simplify right side
    53,453.25x = 2,270,556,048.08
  5. Step 5: Solve for x
    x = 2,270,556,048.08/53,453.25
  6. Step 6: Final answer
    x = 42,477.42

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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.