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Finding the Fourth Proportional to 54,554.54, 75,283.72 and 33,057

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Solution

The fourth proportional to 54,554.54, 75,283.72 and 33,057 is: 45,617.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,554.54 : 75,283.72 = 33,057 : x
  2. Step 2: Convert to fraction form
    54,554.54/75,283.72 = 33,057/x
  3. Step 3: Cross multiply
    54,554.54x = 75,283.72 × 33,057
  4. Step 4: Simplify right side
    54,554.54x = 2,488,653,849.40
  5. Step 5: Solve for x
    x = 2,488,653,849.40/54,554.54
  6. Step 6: Final answer
    x = 45,617.73

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1.5x scale

Why These Related Problems?

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