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Finding the Fourth Proportional to 34,013.82, 51,023.82 and 10,639.68

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Solution

The fourth proportional to 34,013.82, 51,023.82 and 10,639.68 is: 15,960.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,013.82 : 51,023.82 = 10,639.68 : x
  2. Step 2: Convert to fraction form
    34,013.82/51,023.82 = 10,639.68/x
  3. Step 3: Cross multiply
    34,013.82x = 51,023.82 × 10,639.68
  4. Step 4: Simplify right side
    34,013.82x = 542,877,117.18
  5. Step 5: Solve for x
    x = 542,877,117.18/34,013.82
  6. Step 6: Final answer
    x = 15,960.49

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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.