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Finding the Fourth Proportional to 34,263, 51,416.37 and 18,680.63

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Solution

The fourth proportional to 34,263, 51,416.37 and 18,680.63 is: 28,032.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,263 : 51,416.37 = 18,680.63 : x
  2. Step 2: Convert to fraction form
    34,263/51,416.37 = 18,680.63/x
  3. Step 3: Cross multiply
    34,263x = 51,416.37 × 18,680.63
  4. Step 4: Simplify right side
    34,263x = 960,489,926.83
  5. Step 5: Solve for x
    x = 960,489,926.83/34,263
  6. Step 6: Final answer
    x = 28,032.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.