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Finding the Fourth Proportional to 34,027.20, 51,040.80 and 10,653.66

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Solution

The fourth proportional to 34,027.20, 51,040.80 and 10,653.66 is: 15,980.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,027.20 : 51,040.80 = 10,653.66 : x
  2. Step 2: Convert to fraction form
    34,027.20/51,040.80 = 10,653.66/x
  3. Step 3: Cross multiply
    34,027.20x = 51,040.80 × 10,653.66
  4. Step 4: Simplify right side
    34,027.20x = 543,771,329.33
  5. Step 5: Solve for x
    x = 543,771,329.33/34,027.20
  6. Step 6: Final answer
    x = 15,980.49

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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.