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Finding the Fourth Proportional to 34,017.10, 51,018.36 and 10,640.50

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Solution

The fourth proportional to 34,017.10, 51,018.36 and 10,640.50 is: 15,958.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,017.10 : 51,018.36 = 10,640.50 : x
  2. Step 2: Convert to fraction form
    34,017.10/51,018.36 = 10,640.50/x
  3. Step 3: Cross multiply
    34,017.10x = 51,018.36 × 10,640.50
  4. Step 4: Simplify right side
    34,017.10x = 542,860,859.58
  5. Step 5: Solve for x
    x = 542,860,859.58/34,017.10
  6. Step 6: Final answer
    x = 15,958.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.