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Finding the Fourth Proportional to 51,819.52, 77,665.03 and 36,802.69

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Solution

The fourth proportional to 51,819.52, 77,665.03 and 36,802.69 is: 55,158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,819.52 : 77,665.03 = 36,802.69 : x
  2. Step 2: Convert to fraction form
    51,819.52/77,665.03 = 36,802.69/x
  3. Step 3: Cross multiply
    51,819.52x = 77,665.03 × 36,802.69
  4. Step 4: Simplify right side
    51,819.52x = 2,858,282,173.63
  5. Step 5: Solve for x
    x = 2,858,282,173.63/51,819.52
  6. Step 6: Final answer
    x = 55,158.41

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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.