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Finding the Fourth Proportional to 51,645, 71,251.80 and 33,750.36

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Solution

The fourth proportional to 51,645, 71,251.80 and 33,750.36 is: 46,563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,645 : 71,251.80 = 33,750.36 : x
  2. Step 2: Convert to fraction form
    51,645/71,251.80 = 33,750.36/x
  3. Step 3: Cross multiply
    51,645x = 71,251.80 × 33,750.36
  4. Step 4: Simplify right side
    51,645x = 2,404,773,900.65
  5. Step 5: Solve for x
    x = 2,404,773,900.65/51,645
  6. Step 6: Final answer
    x = 46,563.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.