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Finding the Fourth Proportional to 54,340.37, 74,987.08 and 30,142.30

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Solution

The fourth proportional to 54,340.37, 74,987.08 and 30,142.30 is: 41,594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,340.37 : 74,987.08 = 30,142.30 : x
  2. Step 2: Convert to fraction form
    54,340.37/74,987.08 = 30,142.30/x
  3. Step 3: Cross multiply
    54,340.37x = 74,987.08 × 30,142.30
  4. Step 4: Simplify right side
    54,340.37x = 2,260,282,859.91
  5. Step 5: Solve for x
    x = 2,260,282,859.91/54,340.37
  6. Step 6: Final answer
    x = 41,594.91

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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.