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Finding the Fourth Proportional to 34,349, 51,504.56 and 10,650

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Solution

The fourth proportional to 34,349, 51,504.56 and 10,650 is: 15,969.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,349 : 51,504.56 = 10,650 : x
  2. Step 2: Convert to fraction form
    34,349/51,504.56 = 10,650/x
  3. Step 3: Cross multiply
    34,349x = 51,504.56 × 10,650
  4. Step 4: Simplify right side
    34,349x = 548,523,564
  5. Step 5: Solve for x
    x = 548,523,564/34,349
  6. Step 6: Final answer
    x = 15,969.13

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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.