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Finding the Fourth Proportional to 30,844.41, 42,637.02 and 27,520.17

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Solution

The fourth proportional to 30,844.41, 42,637.02 and 27,520.17 is: 38,041.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,844.41 : 42,637.02 = 27,520.17 : x
  2. Step 2: Convert to fraction form
    30,844.41/42,637.02 = 27,520.17/x
  3. Step 3: Cross multiply
    30,844.41x = 42,637.02 × 27,520.17
  4. Step 4: Simplify right side
    30,844.41x = 1,173,377,687.91
  5. Step 5: Solve for x
    x = 1,173,377,687.91/30,844.41
  6. Step 6: Final answer
    x = 38,041.83

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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.