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Finding the Fourth Proportional to 27,585.16, 38,031.94 and 20,042.44

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Solution

The fourth proportional to 27,585.16, 38,031.94 and 20,042.44 is: 27,632.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,585.16 : 38,031.94 = 20,042.44 : x
  2. Step 2: Convert to fraction form
    27,585.16/38,031.94 = 20,042.44/x
  3. Step 3: Cross multiply
    27,585.16x = 38,031.94 × 20,042.44
  4. Step 4: Simplify right side
    27,585.16x = 762,252,875.53
  5. Step 5: Solve for x
    x = 762,252,875.53/27,585.16
  6. Step 6: Final answer
    x = 27,632.72

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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.