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Finding the Fourth Proportional to 54,382.20, 75,048.17 and 30,507.45

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Solution

The fourth proportional to 54,382.20, 75,048.17 and 30,507.45 is: 42,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,382.20 : 75,048.17 = 30,507.45 : x
  2. Step 2: Convert to fraction form
    54,382.20/75,048.17 = 30,507.45/x
  3. Step 3: Cross multiply
    54,382.20x = 75,048.17 × 30,507.45
  4. Step 4: Simplify right side
    54,382.20x = 2,289,528,141.33
  5. Step 5: Solve for x
    x = 2,289,528,141.33/54,382.20
  6. Step 6: Final answer
    x = 42,100.69

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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.