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Finding the Fourth Proportional to 54,295.47, 74,927.03 and 30,422.61

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Solution

The fourth proportional to 54,295.47, 74,927.03 and 30,422.61 is: 41,982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,295.47 : 74,927.03 = 30,422.61 : x
  2. Step 2: Convert to fraction form
    54,295.47/74,927.03 = 30,422.61/x
  3. Step 3: Cross multiply
    54,295.47x = 74,927.03 × 30,422.61
  4. Step 4: Simplify right side
    54,295.47x = 2,279,475,660.04
  5. Step 5: Solve for x
    x = 2,279,475,660.04/54,295.47
  6. Step 6: Final answer
    x = 41,982.80

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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.