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Finding the Fourth Proportional to 34,040.50, 51,029.62 and 14,320.45

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Solution

The fourth proportional to 34,040.50, 51,029.62 and 14,320.45 is: 21,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,040.50 : 51,029.62 = 14,320.45 : x
  2. Step 2: Convert to fraction form
    34,040.50/51,029.62 = 14,320.45/x
  3. Step 3: Cross multiply
    34,040.50x = 51,029.62 × 14,320.45
  4. Step 4: Simplify right side
    34,040.50x = 730,767,121.73
  5. Step 5: Solve for x
    x = 730,767,121.73/34,040.50
  6. Step 6: Final answer
    x = 21,467.58

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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.