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Finding the Fourth Proportional to 51,799.03, 77,648.14 and 33,020.47

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Solution

The fourth proportional to 51,799.03, 77,648.14 and 33,020.47 is: 49,498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,799.03 : 77,648.14 = 33,020.47 : x
  2. Step 2: Convert to fraction form
    51,799.03/77,648.14 = 33,020.47/x
  3. Step 3: Cross multiply
    51,799.03x = 77,648.14 × 33,020.47
  4. Step 4: Simplify right side
    51,799.03x = 2,563,978,077.43
  5. Step 5: Solve for x
    x = 2,563,978,077.43/51,799.03
  6. Step 6: Final answer
    x = 49,498.57

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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.