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Finding the Fourth Proportional to 34,379.66, 51,574.43 and 13,040.22

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Solution

The fourth proportional to 34,379.66, 51,574.43 and 13,040.22 is: 19,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,379.66 : 51,574.43 = 13,040.22 : x
  2. Step 2: Convert to fraction form
    34,379.66/51,574.43 = 13,040.22/x
  3. Step 3: Cross multiply
    34,379.66x = 51,574.43 × 13,040.22
  4. Step 4: Simplify right side
    34,379.66x = 672,541,913.57
  5. Step 5: Solve for x
    x = 672,541,913.57/34,379.66
  6. Step 6: Final answer
    x = 19,562.20

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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.