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Finding the Fourth Proportional to 34,195.68, 51,300 and 10,820.16

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Solution

The fourth proportional to 34,195.68, 51,300 and 10,820.16 is: 16,232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,195.68 : 51,300 = 10,820.16 : x
  2. Step 2: Convert to fraction form
    34,195.68/51,300 = 10,820.16/x
  3. Step 3: Cross multiply
    34,195.68x = 51,300 × 10,820.16
  4. Step 4: Simplify right side
    34,195.68x = 555,074,208
  5. Step 5: Solve for x
    x = 555,074,208/34,195.68
  6. Step 6: Final answer
    x = 16,232.29

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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.