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Finding the Fourth Proportional to 54,671.85, 75,418.38 and 37,646.58

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Solution

The fourth proportional to 54,671.85, 75,418.38 and 37,646.58 is: 51,932.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,671.85 : 75,418.38 = 37,646.58 : x
  2. Step 2: Convert to fraction form
    54,671.85/75,418.38 = 37,646.58/x
  3. Step 3: Cross multiply
    54,671.85x = 75,418.38 × 37,646.58
  4. Step 4: Simplify right side
    54,671.85x = 2,839,244,076.14
  5. Step 5: Solve for x
    x = 2,839,244,076.14/54,671.85
  6. Step 6: Final answer
    x = 51,932.47

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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.