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Finding the Fourth Proportional to 34,271.43, 51,411.38 and 16,728

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Solution

The fourth proportional to 34,271.43, 51,411.38 and 16,728 is: 25,094.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,271.43 : 51,411.38 = 16,728 : x
  2. Step 2: Convert to fraction form
    34,271.43/51,411.38 = 16,728/x
  3. Step 3: Cross multiply
    34,271.43x = 51,411.38 × 16,728
  4. Step 4: Simplify right side
    34,271.43x = 860,009,481
  5. Step 5: Solve for x
    x = 860,009,481/34,271.43
  6. Step 6: Final answer
    x = 25,094.06

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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.