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Finding the Fourth Proportional to 34,650, 51,983.66 and 10,026

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Solution

The fourth proportional to 34,650, 51,983.66 and 10,026 is: 15,041.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,650 : 51,983.66 = 10,026 : x
  2. Step 2: Convert to fraction form
    34,650/51,983.66 = 10,026/x
  3. Step 3: Cross multiply
    34,650x = 51,983.66 × 10,026
  4. Step 4: Simplify right side
    34,650x = 521,188,175.16
  5. Step 5: Solve for x
    x = 521,188,175.16/34,650
  6. Step 6: Final answer
    x = 15,041.51

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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.