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Finding the Fourth Proportional to 30,844.91, 42,637.71 and 27,520.67

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Solution

The fourth proportional to 30,844.91, 42,637.71 and 27,520.67 is: 38,042.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,844.91 : 42,637.71 = 27,520.67 : x
  2. Step 2: Convert to fraction form
    30,844.91/42,637.71 = 27,520.67/x
  3. Step 3: Cross multiply
    30,844.91x = 42,637.71 × 27,520.67
  4. Step 4: Simplify right side
    30,844.91x = 1,173,418,133.28
  5. Step 5: Solve for x
    x = 1,173,418,133.28/30,844.91
  6. Step 6: Final answer
    x = 38,042.53

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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.