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Finding the Fourth Proportional to 34,830, 52,245 and 10,206

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Solution

The fourth proportional to 34,830, 52,245 and 10,206 is: 15,309

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,830 : 52,245 = 10,206 : x
  2. Step 2: Convert to fraction form
    34,830/52,245 = 10,206/x
  3. Step 3: Cross multiply
    34,830x = 52,245 × 10,206
  4. Step 4: Simplify right side
    34,830x = 533,212,470
  5. Step 5: Solve for x
    x = 533,212,470/34,830
  6. Step 6: Final answer
    x = 15,309

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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.