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Finding the Fourth Proportional to 54,262.80, 74,879.10 and 30,384

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Solution

The fourth proportional to 54,262.80, 74,879.10 and 30,384 is: 41,927.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,262.80 : 74,879.10 = 30,384 : x
  2. Step 2: Convert to fraction form
    54,262.80/74,879.10 = 30,384/x
  3. Step 3: Cross multiply
    54,262.80x = 74,879.10 × 30,384
  4. Step 4: Simplify right side
    54,262.80x = 2,275,126,574.40
  5. Step 5: Solve for x
    x = 2,275,126,574.40/54,262.80
  6. Step 6: Final answer
    x = 41,927.92

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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.