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Finding the Fourth Proportional to 77,977.84, 116,930.28 and 33,602.80

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Solution

The fourth proportional to 77,977.84, 116,930.28 and 33,602.80 is: 50,388.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,977.84 : 116,930.28 = 33,602.80 : x
  2. Step 2: Convert to fraction form
    77,977.84/116,930.28 = 33,602.80/x
  3. Step 3: Cross multiply
    77,977.84x = 116,930.28 × 33,602.80
  4. Step 4: Simplify right side
    77,977.84x = 3,929,184,812.78
  5. Step 5: Solve for x
    x = 3,929,184,812.78/77,977.84
  6. Step 6: Final answer
    x = 50,388.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.