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Finding the Fourth Proportional to 56,302.82, 84,478.74 and 35,291

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Solution

The fourth proportional to 56,302.82, 84,478.74 and 35,291 is: 52,951.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,302.82 : 84,478.74 = 35,291 : x
  2. Step 2: Convert to fraction form
    56,302.82/84,478.74 = 35,291/x
  3. Step 3: Cross multiply
    56,302.82x = 84,478.74 × 35,291
  4. Step 4: Simplify right side
    56,302.82x = 2,981,339,213.34
  5. Step 5: Solve for x
    x = 2,981,339,213.34/56,302.82
  6. Step 6: Final answer
    x = 52,951.86

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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.