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Finding the Fourth Proportional to 51,594.30, 71,195.16 and 28,934.22

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Solution

The fourth proportional to 51,594.30, 71,195.16 and 28,934.22 is: 39,926.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,594.30 : 71,195.16 = 28,934.22 : x
  2. Step 2: Convert to fraction form
    51,594.30/71,195.16 = 28,934.22/x
  3. Step 3: Cross multiply
    51,594.30x = 71,195.16 × 28,934.22
  4. Step 4: Simplify right side
    51,594.30x = 2,059,976,422.38
  5. Step 5: Solve for x
    x = 2,059,976,422.38/51,594.30
  6. Step 6: Final answer
    x = 39,926.43

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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.