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Finding the Fourth Proportional to 34,072.31, 51,110.21 and 13,014.20

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Solution

The fourth proportional to 34,072.31, 51,110.21 and 13,014.20 is: 19,521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,072.31 : 51,110.21 = 13,014.20 : x
  2. Step 2: Convert to fraction form
    34,072.31/51,110.21 = 13,014.20/x
  3. Step 3: Cross multiply
    34,072.31x = 51,110.21 × 13,014.20
  4. Step 4: Simplify right side
    34,072.31x = 665,158,174.36
  5. Step 5: Solve for x
    x = 665,158,174.36/34,072.31
  6. Step 6: Final answer
    x = 19,521.96

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1.5x scale

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.