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Finding the Fourth Proportional to 34,099.32, 51,170.98 and 14,377.98

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Solution

The fourth proportional to 34,099.32, 51,170.98 and 14,377.98 is: 21,576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,099.32 : 51,170.98 = 14,377.98 : x
  2. Step 2: Convert to fraction form
    34,099.32/51,170.98 = 14,377.98/x
  3. Step 3: Cross multiply
    34,099.32x = 51,170.98 × 14,377.98
  4. Step 4: Simplify right side
    34,099.32x = 735,735,327.02
  5. Step 5: Solve for x
    x = 735,735,327.02/34,099.32
  6. Step 6: Final answer
    x = 21,576.25

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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.