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Finding the Fourth Proportional to 31,680, 43,678.62 and 20,329.47

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Solution

The fourth proportional to 31,680, 43,678.62 and 20,329.47 is: 28,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,680 : 43,678.62 = 20,329.47 : x
  2. Step 2: Convert to fraction form
    31,680/43,678.62 = 20,329.47/x
  3. Step 3: Cross multiply
    31,680x = 43,678.62 × 20,329.47
  4. Step 4: Simplify right side
    31,680x = 887,963,194.93
  5. Step 5: Solve for x
    x = 887,963,194.93/31,680
  6. Step 6: Final answer
    x = 28,029.14

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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.