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Finding the Fourth Proportional to 34,149.82, 51,222.88 and 13,099.95

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Solution

The fourth proportional to 34,149.82, 51,222.88 and 13,099.95 is: 19,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,149.82 : 51,222.88 = 13,099.95 : x
  2. Step 2: Convert to fraction form
    34,149.82/51,222.88 = 13,099.95/x
  3. Step 3: Cross multiply
    34,149.82x = 51,222.88 × 13,099.95
  4. Step 4: Simplify right side
    34,149.82x = 671,017,166.86
  5. Step 5: Solve for x
    x = 671,017,166.86/34,149.82
  6. Step 6: Final answer
    x = 19,649.22

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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.