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Finding the Fourth Proportional to 34,342.97, 51,521.82 and 10,650

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Solution

The fourth proportional to 34,342.97, 51,521.82 and 10,650 is: 15,977.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,342.97 : 51,521.82 = 10,650 : x
  2. Step 2: Convert to fraction form
    34,342.97/51,521.82 = 10,650/x
  3. Step 3: Cross multiply
    34,342.97x = 51,521.82 × 10,650
  4. Step 4: Simplify right side
    34,342.97x = 548,707,383
  5. Step 5: Solve for x
    x = 548,707,383/34,342.97
  6. Step 6: Final answer
    x = 15,977.28

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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.