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Finding the Fourth Proportional to 51,806.44, 71,492.77 and 29,145.44

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Solution

The fourth proportional to 51,806.44, 71,492.77 and 29,145.44 is: 40,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,806.44 : 71,492.77 = 29,145.44 : x
  2. Step 2: Convert to fraction form
    51,806.44/71,492.77 = 29,145.44/x
  3. Step 3: Cross multiply
    51,806.44x = 71,492.77 × 29,145.44
  4. Step 4: Simplify right side
    51,806.44x = 2,083,688,238.47
  5. Step 5: Solve for x
    x = 2,083,688,238.47/51,806.44
  6. Step 6: Final answer
    x = 40,220.64

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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.