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Finding the Fourth Proportional to 48,952.84, 67,558.26 and 27,732.28

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Solution

The fourth proportional to 48,952.84, 67,558.26 and 27,732.28 is: 38,272.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,952.84 : 67,558.26 = 27,732.28 : x
  2. Step 2: Convert to fraction form
    48,952.84/67,558.26 = 27,732.28/x
  3. Step 3: Cross multiply
    48,952.84x = 67,558.26 × 27,732.28
  4. Step 4: Simplify right side
    48,952.84x = 1,873,544,582.63
  5. Step 5: Solve for x
    x = 1,873,544,582.63/48,952.84
  6. Step 6: Final answer
    x = 38,272.44

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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.