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Finding the Fourth Proportional to 34,102, 51,153 and 9,478

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Solution

The fourth proportional to 34,102, 51,153 and 9,478 is: 14,217

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,102 : 51,153 = 9,478 : x
  2. Step 2: Convert to fraction form
    34,102/51,153 = 9,478/x
  3. Step 3: Cross multiply
    34,102x = 51,153 × 9,478
  4. Step 4: Simplify right side
    34,102x = 484,828,134
  5. Step 5: Solve for x
    x = 484,828,134/34,102
  6. Step 6: Final answer
    x = 14,217

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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.